Ok now you're just being ridiculous, even Nintendo said that mario run is a lite mario game, not a real 2d mario platformer. We have a lot of those so you should know the difference between super mario world vs super mario run

You avoided a big part of the question. Which of all the Mario games are "real mario experiences" that have to stay on Nintendo hardware?

And which Mario games aren't "real mario experiences", so it would be okay if these are on other platforms?

I don't recall them saying it's not a "real" Mario. They said it's a Mario game tailored to the touch controls/play style of mobile. 

From everything I've seen it looks like a "regular" 2D Mario game otherwise, there are even different worlds I think. 

Let's change the "real experience" thing It's about their AAA games, that's why people buy a Nintendo system. Something like doctor mario or mario run, on phones or even other consoles would not hurt their console market. If Super Mario 64 2, smash bros  and breath of the wild are on playstation even when they have a console on the market, why would you buy a nintendo console if the games are on playstation, plus playstation exclusives and third party games?

I think Apple would carve out a niche for Nintendo if they become exclusive to ios. And not even MS could match it. Because apple sells hundreds of millions of devices which is something neither of the twins can do. iphones becoming the home for Nintendo? It would be a game changer.

Mobile devices are in the hands of nearly every man, woman, and child these days. Its where nintendo wants to be. Its why they made a tablet. Apple is far closer to the market they want to reach than MS or Sony. I don't think that MS or Sony have anything they could offer Nintendo that they would want, or couldn't do themselves. Is there 60m consoles out there? Yes. But that is a small fraction compared to the mobile market. And Nintendo chases blue oceans. They won't touch the twins.

Here's my take.

You have two main groups arguing this point.

The first group looks at flagging sales of Nintendo hardware and believes it could make more money placing its coveted software on platforms where more consumers can play them. In other words, increased software sales would mitigate lost hardware sales. That of course ignores the profits from controllers and accessories, and licensing fees. Nintendo would lose the ability to sell hardware, would pay fees instead of receiving them, and perhaps most importantly, would lose control over the decision-making process, in everything from OS to online functionality.

The second group is aware that Nintendo going third party would be bad for business and simply wants Nintendo to fail or submit. Nintendo's success is an affront to the hardcore gamer. Its failure as a console manufacturer and its subservience to a "real" game maker like Sony or Microsoft would satisfy that narrative.

Nintendo has already gone 3^rd party if you count Pokemon and Temple Run Mario. Nintendo’s past suggests they are willing to have their IPs on other systems. Nintendo should put demos on XBL/PSN and then depending on their popularity could release other games on the system.

Pokemon – iOS/Android

1D Mario – iOS timed exclusive, Android confirmed, could go to XBL/PSN too.

2D Mario – Microsoft and Sony have better online, perfect for this gem.

3D Mario – Who wouldn’t want this AAA title in 4K glory?

Mario Bros – Sony could do this with PSVR.

Mario Sport games – Sony timed exclusive, Scorpio version later.

Legend of Zelda – Kinect functionality on this would be great

I'd rather they not go third-party period, but they kind of went second-party when they made Miitomo and started making Super Mario Run.

Fair points, so when you put it that way none of them are first-party anymore. I don't remember any recent Sony mobile games since that Ratchet and Clank one, but still.

I agree, but moreso in terms of licensing their IPs for other commercial ventures. Even if some haven't worked out so well (Both the Mario Bros. and Ratchet movies failed miserably), or some that might be just silly (I think there was a Donkey Kong Country brand of shampoo or bubblebath in the 90s).