Ah, I see now what you meant in the E3 thread. However; I think you're simplifying it if you conclude that 3rd parties have no impact on Nintendo hardware sales if you're merely tallying total number of software sales and looking at how big a portion of total publishing Nintendo themselves are behind.
Why? Software diversity and major genres where Nintendo have no pedigree and/or focus (mature RPG's, racing games besides MK, FPS games, open-world style games like inFamous, Prototype or GTA etc) that have proven to be causing market movements (i.e; CoD and similar phenomenon).
Broader software library with more quality content on each front and across more genres = hitting the market constant more efficiently (that constant being that console owners buy games).

I do, without a doubt, Nintendo have always relied and thrived on software/hardware synergy for their efforts, both in marketing and sales and they should maintain this at (almost) all costs, this is also why I'm so opposed to the idea of Nintendo becoming a 3rd party developer themselves. They need to branch out and grow, it's astonishing that they are small as they are with all the platforms and development threads they are currently supporting and pursuing.

It's a new dawn for Nintendo, I talked about how they will need to break free from tradition in the UNITY thread, this is paramount for them to succeed in the future. I believe they can rise again in time, they have always been strong; they simply need a bigger body.

Ooops. ;)

I don't feel confident enough to predict any of these, but I'm pretty certain that Nintendo crushes everyone else in these ratios. Unfortunately, I assumed the polls were about each company's software ratios to other console manufacturers (like in the thread this was a follow up to), so my votes in the polls probably aren't accurate. I still had Nintendo in the lead, but if you're just doing it as a ratio of each company's 1st party published games versus other games on the system, Nintendo would win by even more. I think I carefully calculated Gamecube's out once and got something around 40%, and Wii is around that too.

Alright, so I took a look at VGC data for Nintendo systems, and made some estimates, it looks like the GBA had a much smaller Nintendo ratio, around probably 30%, made up for by the Gameboy with not quite 50%. The DS looks to be upwards of 40%, and the 3DS look to be upwards of 50%.

On the system side, I maintain that Gamecube looks like 40%, Wii looks close to 40%, while Wii U is ridiculous, I'd say it looks close to 70%! NES data is poorly tracked, and is missing games like Donkey Kong 3, the original Fire Emblem games, Famicom Wars, Urban Champion, and other notable decently selling IPs, but it's definitely upwards of 35%, so I'd say probably about 40% for it too. Super Nintendo was horrifically tracked, so I can't get a good read on that one, but I'd say at least 30%, maybe more, I'll go with 35%. N64 looks pretty dominated by Nintendo, almost as much as Wii U, so I'm guessing 60%

So that's:

Sounds about right. I'm going with that.

I voted for 45%.
When you look how little Nintendo plays the "pay for exclusive 3rd party support" game, their share must be at least 45% - If not more - to sustain them financially.
I don't think they could afford not to play ball with 3rd party if it's lower.