Well, just of boredom I decided to see if a 3DS can go further than a DS on the superior hat duplication in Super Mario 64 DS. The DS got 32 hats and crashed when you kill the snowman to release them, while a 3DS got to 64 hats, with major graphical glitches starting at 32 hats. The game froze so hard, that the debug mode's time counter was cycling between around 18m 32s 500 and 18m 32s 670, then looping.
Also, why is even "Administr" on the debug menu, this ain't Windows goddamn it. And why does it think it's 13 January 2005? Is that when my copy was made?
Anyway, the game just ran out of RAM probably.
Can anyone test the DSi? I don't have one so...
So, what is the answer? Yes, a 3DS can handle more hats than a DS.
EDIT:Soft-resetting freezes everything (R.I.P the timer).