Possession "rights" of corpses

This vsauce video makes the claim (at 8:25 after discussing various preservation techniques) that corpses are legally not property.

My google-fu is weak and I couldn’t find verification of this. I’m sure it varies by jurisdiction, but is it true, that a cadavre has special protection (or lack of protection) when it comes to property rights and ownership?

I know you can purchase a skeleton. What’s the difference (assuming there IS a difference)?

ETA: I just noticed a little after my linked-to clip there appear to be a few details re: legality. I’ll use that to see if I can answer my own question.

Brotherton can be read here.