They learned that they need:

-much better name
-much better marketing
-better games for launch
-stronger hardware that is appealing for 3rd party
-better unified account
-and they learaned to make beautiful games in HD

Well at least on that last point, thankfully yeah. Nintendo games and HD go together perfectly, good riddance to the Wii era. 

to be fair Sony kinda tried with that eye toy but that was a half assed effort. And i dont think htere is a blue ocean more like purple (red+blue)

@OP:

"Two screens aren't enough".

Wii Next will have three.

Nintendo learned zero lessons.

Iwata will probably name the next console 'Wii U2' and chuckle because he thinks its super clever.

INNIT???    

-Hardware is important when your competition is Microsoft and Sony.
-Consider third parties when designing hardware.
-Blue Ocean market are fickle as f***
-"Innovations" must prove their worth in games, the fact that we're only receiving games designed around the gamepad in 2015 is kind of a joke. If its just a supplementary accessory, is it worth the $100 it adds to the Wii U's retail price?
-They have to market their USPs when they have one.
-Wii U is a terrible name and when they have a "new" console they really have to make it clear.

I wonder if they will go more upmarket with their next handheld.

Because the competition is really actually low-cost tablets and hand-me-down phones with freemium apps/games, the low cost 3DS has not had a lot of success stemming the tide. You have to justify why people should be paying $39.99 for a portable game in this day and age.

Maybe the play (especially with Sony handhelds out of the way) is to go higher end with the portable. Really strong specs, more IP aimed at enthusiast gamers, more marketing initially towards teenagers/adults like they have done with the New 3DS in North America.

The 2DS which was a play for the budget/kids market hasn't had a ton of success, more people choose the more expensive XL model if they choose the 3DS at all. 

Let the New 3DS hang around in stores for a few more years as the budget option for kids/families.