Does matter have to retain heat information (entropy) to remain physical?

A Bose–Einstein condensate says yes.

I think there is something to an object being fully wave collapsed. An object that doesn't have the possibility to go into superposition. Does degrees of freedom have something to do with it?

Does an object have to be large enough to have internal entropy be fully physical?

I think there are levels or percentages to completion for wave collapse. Only particles deal with the chance of multiple instances of decoherence in their path.
Does decoherence bother running on objects that are fully and automatically wave collapsed?

Can we describe wave collapse as quantum information being manifested to physical matter in spacetime?