They all have their little control gimmicks intact still, yes. Can’t pick up stuff in SMB1, can toss shells vertically in SMW, spin/flutter jump in SMW/NSMB, etc. Looking into it now it seems like all the games actually have a P-gauge meter like in SMB3 and it’s just not shown in the other game types. (actually maybe not true) The only way you could sort of change the game physics was with the “Weird Mushroom” power-up exclusive to SMB1 that turned you into skinny Mario and gave you Luigi physics.
It will be interesting to see if they’ll let the “Extra” game types like 3D World have different physics though since they seem to be treating them like a separate thing.