I think that's a good point, which highlights a drawback that affects the console portion of the system that wouldn't be there under normal circumstances. Limited power draw can affect the systems potential performance.
In other words, Switch would have likely been more powerful if it was released only as a console.

I also consider Switch primarily a handheld for that reason, among others.
Though I don't rule it out as also being a console despite it having such a drawback due to its portable nature.

If your not willing to rule out Switch as a console, then what about the Sega Nomad or the PSP. Both could connect to the TV and perform similar to a Switch. This is my point. If you say Switch is a console, you have to say the Sega Nomad and PSP are, for the sake of consistency and i think that is a fair thing to say. 

Well, if we're going by labels, I think it's far more important to call Switch
-A handheld (Switch Lite and the other SKUs if they're not in the dock)
-A hybrid because it can be used as a home console (not Switch Lite)
There is no argument for PSP being a home console, and there's barely any argument of it being a hybrid.
-PSP 1000 has no TV support and no model has it out of the box. A separate set of cables is required.
-The resolution stays the same when on a TV.
-No dock.
You could argue Vita is a hybrid or home console much more convincingly than PSP. It's a shame you could never hook Vita 1000 or 2000 up to a TV. That port on the 1000 ended up being useless.
-PlayStation TV is a home console-only version of Vita.
-Vita can play a tiny library of PS3 games and many PS4 games via Remote Play.

The reasons the Switch is different from a PSP in that regard (Idk about the Sega Nomad) is that the Switch is a fully functional home console right out of the box, whereas the PSP is still missing key home console features even after buying a peripheral that allows it to be displayed on a TV.

If Switch didn't come with a dock, it wouldn't mean we can just disregard the feature that it can be played on a TV. Just because PSP didn't come with the cable to connect to TV doesn't mean the feature can be disregarded. I'm talking strictly about function here. I'm amazed how many people are trying to say that "it's different because of this and that". "it's different because it didn't come in the box". "it's different because it's the same resolution". Well guess what guys you can change the resolution by attaching it to an upscaler.  

And the rest of us are confused because you're ignoring all the things that the Switch does that a PSP doesn't that make it a fully functional home console, and saying that all a home console has to do is be able to be displayed on a TV via an optional peripheral that doesn't work with the launch hardware. 😀 

Edit - I shouldn't have said "the rest of us" because I'm only speaking for myself. 

Well technically it does, you need to then get a motorbike driving license in most places I lived

If you going to start deep diving into what it can do vs what it was sold has then you can pick apart PS2, PS3 and the PSP.

In Australia for example, when the PS2 come out, it was the cheapest DVD player. Dedicated DVD players at the time cost an extra $200-$300. Lots of people doubled up for their parents an got them the PS2 so they could watch DVDs only.

PS3 was marketed as the cheapest BluRay player on the market. It was half the cost of a BluRay player when they first come out and if you bought a fancy high end high price Sony TV at the time they even threw in a PS3 for free as a BluRay player.

PSP for most was a media player on the go that let you listen to music and watch stuff on it. The iPhone killed it, hence why PSP Vita didn't do as well even thought as a gaming console it FAR exceeds the PSP. The extra benefits the PSP provided were no longer a selling point when your smart phone did all that and more.

At the end of the day I consider these gaming consoles as that was the main intent even though Sony provided an avenue for others to use their system for other purposes that don't relate to gaming

Why did you wait 7 years to ask this?

The Switch is a handheld, pure and simple.

It looks like a handheld, performs like a handheld, has handheld components (ARM SoC, battery, display, wifi etc') and has hand-held only variants without any HDMI output over USB C.

The Switch is a handheld that can output games to a TV, which is literally no different to Tablets, Laptops, Phones and even devices like the PSP, Sega Nomad.

If the Switch is a Hybrid, then so is the WiiU and so are all the other devices listed above... My phone comes with a USB cable and will connect to a display out of the box using said cable.