Ok ;)

I think they mean the middle mouse button that scrolls? So essentially a scrolling dial/R1 button hybrid if I'm not mistaken

Personally I would love NX to support multiple screened controllers, it would definetly open up a lot of possibilities for local multiplayer. The problem though is still the cost - they can't afford screened controllers if they want to make a mass market accessible console. The only way it could work, imo, is if the standard NX controller is also the NX handheld, but then again this would require the NX handheld to have really low specs, in order to be very very affordable.

A handheld would be way more expensive than a screen cotroller. If they can get the screen controllers down in price, they might be able to do it. The cost is about $112 in Japan, and they can definitely get that cost WAY down just by shrinking the thing a lot. If they can get it down like $30-$40 less at NX launch, I think it would definitely be affordable enough. $75 would be a great place for it to sit at at launch.

Oh ok, now that is pretty creative. It needs to be a little more firm than those but I can see that being stardard.

I actually preferred using the Wii Remote to the GameCube controller, but that's just because the GameCube controller doesn't have a second analogue stick. But I agree that using a Pro Controller (or even GamePad)-esque controller would be best. 

I can't play FPS on consoles without motion controlls, and that includes the Prime series (I tried the first Prime game for the GC, and I couldn't pass the first boss). It would be good to give players the option of which mode you want to play, specially if the next controller has some kind of motion tracker built in.

It's not really going to work like that.  Also, your point about the Wii U makes it seem like without the gamepad, the system would have remained at the same power level, when I think that isn't necessarily the case.  I think that the general pricing would have been pretty close to what it started with, especially given that if it didn't have the gamepad, the way it would have to differenciate from competitors would lessen, so they would need to emphasize more of its power-to-cost ratio.

Way more you say? The WiiU controller has already most of the components you can find on an handheld: a screen, a battery, a processor (used as a video decoder), a wi-fi module, a charger.

Yes, an handheld would still be more expansive but not way much if you go for low spec components (after all the New 3DS is in the 150$ range, not much more than $112). Normally the owner of the console is the one who buys supplementary controllers in order to let firends play, and this happens beacuse you don't have any incentive to buy a controller if you don't have the console. If you had one hardware that works both as an handheld and a controller, things would be a bit different - multiplayers games like Mario Kart would encourage 'guest' players to buy thier own handheld/controllers. Of course this could work only if, as I said, the handheld is affordable.

The NXDS won't be going for low spec components, because it has to be able to play NX home console games. It won't be using basically 2006 level tech like the 3DS currently is, so it won't be $112. It'll be much more. Even after the first major price cut with low-spec hardware, the 3DS was $170 in its first year. There's no way the NXDS will be cheaper than that at launch.

Restricting local multiplayer to if 3 players each had a $200+ device would fail miserably. Of course the host has to provide the controllers. A touch screen controller needs much less to be funtional, so it can be much cheaper, especially since it doesn't have to beef up the hardware after a generation like a handheld does.