According to VGChartz, PS4 has sold 7,396,415 from February 26th to September 16th, versus Switch at 6,607,728 from March 3rd to September 16th.

According to shipment data, PS4 has shipped 10.4M from January 1st to September 31st, while Switch has shipped 7.63M from March 3rd to September 31st.

...Still, there is a higher like-to-view ratio for the Switch. Could be indicative of interest level.

It really isn't ... 

All of Nintendo's numbers in quarterly reports are SHIPMENTS ... (even when we're comparing on a fiscal year basis, PS4 is still going to ship more than the Switch according to Nintendo) 

You don't need WSJ to tell how many consoles were shipped during the fiscal year, we can get the figures from the console manufacturers themselves in their quarterly reports. The 25-30M figure is just a rumor and nothing more when Digitimes reported a rumor that Nintendo expected the Switch to ship 20M units for this fiscal year but they were off by 6M units when Nintendo only raised their forecast by 4M units totaling to 14M units for this fiscal year ... 

Actually, there might be precedent to show why the Switch may not match PS4 in it's second year and it doesn't matter how many games are releasing for a system but what are the relevant games. When all is said and done for this fiscal year Nintendo is expecting to ship a total of 16.74M units for the Switch and in comparison to the 3DS which released in a similar timeframe to the Switch had shipments totaling 17.13M units for the end of it's first fiscal year ... 

Nintendo is expecting to ship 14M units for this fiscal year on the backbone of Zelda, MK8:D, Splatoon 2 and SMO. For comparison the 3DS shipped roughly ~13.5M units in it's first fiscal year with games such as Nintendogs + Cats, Zelda, SM3DL and MK7 yet coincidentally they'll both have similar shipment totals ... 

We don't know what Switch's titles are going to be next year but 3DS in 2012 released with blockbusters such as NSMB2 and AC:NL was only able to increase shipment by ~400K units for the following fiscal year which amounted to ~13.9M units for the second fiscal year so if the release schedule on the Switch is anything like the 3DS was in 2012, there's not much chance for the Switch to keep up with the PS4 or let alone match it when it is already not doing so ... 

My numbers are not off but I do admit to using a different methodology such as using calendar years ... 

Close.

I think the switch could outsell the PS4. They key is price. If they can get the switch sub 200 dollars people will pick it up as a handheld. At 300 dollars it is still in the console price range.

Gameswise the switch is fine. It already has a library with a couple of cant miss games.

Pokémon will be the key here. If Nintendo can make Pokémon work flawlessly on the Switch all bets are off and it will set gangbusters.

For how much longer are you going to use the same tired arguments and logical fallacies?

1.) 3DS was $170. Switch is exceeding its performance while costing $130 more. Yet, in your mind, this indicates equivalent demand for the product.
2.) NSMB2 and AC:NL were the only blockbusters that 3DS had in 2012, and AC:NL didn't even release anywhere except Japan and South Korea until June 2013. In terms of system sellers, 2011, 2013, and even 2014 have superior lineups. Of course, by this point, 3DS already had a tarnished reputation, so it's laughable that you think Switch will follow the same trajectory.
3.) DS and PS2 were both behind PS4 by the end of their first full fiscal years, yet, as of 16 quarters, both are now ahead. PS2 is ahead by 2M despite not launching anywhere except Japan for the its first three quarters. DS launched similarly to PS4, except with a delayed Q1 launch in Europe instead of Japan, and is ahead by 16.8M. On the other hand, GBA and Wii had much better first years than PS4, but we certianly don't expect PS4 to end up behind those two consoles. Clearly, first year performance tells us little about the differences in lifetime sales between successful platforms. All we can say is that platforms with good sales right off the bat continue to have good sales.

1) I thought rol made the point that price didn't matter in the 3DS's advantage ? You're not going to follow with him in that regard ? 

There's many ways to determine demand but price and demand goes hand in hand. A basic economic theory is that the demand of service/goods that are sensitive to price are said to be elastic ... 

If the 3DS at $170 is just as desirable as the Switch is at $300 then so be it ... 

2) The fact that Nintendo is expecting to ship 16.74M units total for the first fiscal means that the Switch so far is expected to have a similar trajectory to the 3DS. 3DS was hardly what anyone would describe as "tarnished" when it went on to sell 7M units in the last quarter of 2011 according to this sites data so consumers must have forgiven it one way or another ... (Both Switch and 3DS had a similar set of titles yet coincidentally Nintendo are expecting similar market response for no reason ?) 

Also 2014 for the 3DS was fairly "meh" worthy when most of the big titles were just second entries on the same platform so that's why 2012 saw higher hardware sales for the 3DS than 2014 despite the fact the latter had more big releases ... 

3) OK, I concede you have a point that first year sales don't tell much about lifetime sales but at the same time you cannot easily discard the possibility that the Switch might very well only match the 3DS when both had a similar set of games so far in their life but to only end up with similar expectations up to a certain point ... 

This will likely be the best year for Switch, it's best and biggest games have already released and it's all downhill from here, so I think Switch will be lucky to pass N64 numbers let alone compete with PS4 in the long run.

Pokemon will quite certain be the biggest game on the Switch. A new Animal Crossing will also produce a lot of sales for the Switch.

PS4 win by a huge margin. The comparison obv doesn't count that Switch had to release Zelda, 3D Mario, Mario Kart, Splatoon and Xenoblade 2 in his first year to try to do the same numbers of PS4's first year which had less important exclusive.
Switch had shortages but even PS4 had shortages years ago. Before will se another Zelda or 3D Mario we have to wait a long time from 2 to 3 years as well, instead PS4 is having a lot of important exclusive (blockbuster) such as TLOU, Death stranding, Spiderman and others (or Monster Hunter world as an exclusive in Japan, which will be easily a million seller or KH3 and FFVII Remake). Plus the PS4 has perfored extremely well during it's entire life and Sony it's the one who have invested the most in China at the moment, or in the VR, yes, PS4 it's the cheaper way to enjoy the VR which is a factor to me.
An other factor is that Switch will not have a lot of third party games cause of the hardware. Just skipped some blockbuster such as Star wars, Lord of the rings, CoD, Assassin's creed, NFS and other.
The release of new console, mainly PS5, will affect even the Switch not only the PS4. Switch is suffering with Zelda and Mario at 900p, with frame drop, so this mean that they cannot push more too far than this. The competitors are just pushing on 4K content (and HDR) at the moment and try to make it the standard while the Switch will not reach the FullHD.

At the moment i see PS4 reaching 120 to 130 and Switch to reach 50 to 70 millions. Some could change, Switch it's in his early life, but in every case i see PS4 sell more than Switch LT.