Firstly, I cant seem to find gameplay of Pikmen 3 with someone also showing the hand held screen, so I guess figuring out what your talking about there is going to be difficult for me.
Secondly, moving information to the second screen is "Removing the hud" they're the same thing.
Thirdly, most games in gameplay use a second screen for a number of things.
A quick time event, see Castlevania Dawn of Sorrow, which is a cop out use.
They use it for movement, which is far better suited for buttons universally.
They use it for accuracy in a strategy game. Which is stupid, because touch screen mechanics have to be dumbed down seeing as the vast majority of your players will be sacrificing all their buttons used for things traditionally outside of movement, which means you cant have any depth with those games.
They use it as a second way to interact with an interface, which I guess is helpful to 3 year olds.
They let you draw things, which is stupid because all visual touch screens are way too inaccurate to allow quality or accuracy in such things. Touch screen does not equal graphics tablet.
They use it for majority of control, such as with The World Ends With You or Trauma Center, which universally proves to cause clunky gameplay mechanics.
They use it to tell two stories at once, which outside of visual novels, is confusing at best.
They use it to show unique cutscenes between the two, which is gimmicky at best and unnecessary at worst.
They use it to control a second character, such as with Rayman Legends or once again TWEWY, which is always stupid.
They use it in point and click games, which due to far worse accuracy and the general low market for them on consoles, would be better suited to a PC game anywho.
EDIT: Or they use it on the 3DS for a camera, which requires you to be a tad soft in the head to believe thats a good idea, as to hold the device while using the touch screen requires your hands to be at the wrong angle to the touch screen to use it as a touch pad, as well as most touch screens are far to inaccurate to use as a touch pad, when the only reason they do is because Nintendo cheaped out and didn't put a second stick. See the horrible controls of Kid Icarus, where even using the fucking buttons as a camera was less painful.
So yeah, that list there is about every single thing they've ever used with the touch pad. And all of them are gimmicks, or hurt games. Or they removed the hud, which for some reason most people find unnecessary outside of the DS and 3DS and their stupidly small default version screens when in reality it vastly improves the atmosphere of most games, but I digress, those games still need to be good for it to matter anyway.