Yes it would controllers are made for peanuts and have been since the 90s, even if it's not sold with every copy a significant amount of copies would have been sold with it. The were Wii games bundled with Wiimotes, bundling a GC game with a GC controller is nothing odd.

It indicates they will cut the price when it can remain very profitable even after the cut.

I think these are two seperate issues. Whether NX comes out this year or not, doesn't mean Nintendo hasn't given up on the Wii U. They have. 

If you want to see them fight for a system look at how hard they fought for the 3DS. 

Compare that to the Wii U. They know it's a failed system so they're basically just letting it kill itself. They're not going to help it by throwing a life preserver (a price cut), they're just gonna let the thing drown. 

Game development on the 3DS successor at the very least probably started in 2014, it would have to in order to make a 2016/17 launch, that's more than likely what they have focused on primarily. 

If NX/3DS successor are not ready for this year that's more of a product of Nintendo always being late for everything, not so much that they're working on all these big Wii U games. 

Except they happily cut the price of the 3DS when problems arose, ask yourself this what other Nintendo platform 4 years in didn't recieve a price cut keeping in mind on average a gen has been 5 years? GC was less then half the price of the U and received one, fact is they accepted the U was a lost cause back when Iwata in February 2014 first hinted at the NX, the GC was at least neck and neck with the Xbox but U will never be in that position and was left behind fast.

The lack of a price cut is just them recouping as much back from each sale before the next platform.

If controllers are made for peanuts, an add on for for a controller must cost even less. Good that you finaly agreed. Don't forget that MP was also required to play SS.

Wii games bundled with wiimotes were very multiplayer intensive. Bundling a GC controller for a single player GC game, just so buyers of another console can play it, that's a waste.

They didn't happily cut the 3ds price and the 3ds was sold at a big profit margin at $250. They went from big profit at $250 to small loss at $170. The Wii U was already sold at a loss at launch, they couldn't make such a drastic cut early on without hemorraging money.

Wii U is outdated tech. Even the $199.99 Nvidia Shield console is more powerful with more RAM to boot. 

They don't want to  cut the price because as you said it's not worth it ... the system is a failure and will be a failure no matter what they do. So they're just letting it die. 

It may get a Pikmin 4 (something quickly slapped together using the Pikmin 3 assets) and some more outsourced projects (a Mario Sunshine HD might be nice) but that's about it. 

Sorry but drop the rubbish, WMP was more modern tech then anything in a GC controller, the add on cost more then a GC controller to make. This is made more apparent that Nintendo didn't put the tech in the Wiimote at launch because it wasn't financially viable and too pricey.

The fact that those games had Wiimotes bundled proves the whole point, Wiimote required, bundled, point proven. 

They did cut the price because the realized the possible problems it could face, they could have easily cut it to a price where they still made profit but instead dropped it to where it was sold at manufacturing price. The Wii U was sold at a tiny loss, Reggie even said a Wii U owner only needs to buy 1 game to make that sale profitable, they can very well have dropped the price and made up losses with software sold, the platform became profitable with each unit sold in 2014.

It wasn't pricey by itself but would make the wiimote more costly at launch, making it a risk. If it retailed for $20 at a profit, you can bet it costed less than even an old GC controller.