I guess it would depend. I don't do a lot of tree stand hunting to begin with. I'd much rather still hunt. But I have done it. Most of the time, if I do use a stand it is in some really thick nasty stuff. I would consider leaving it on public ground for 2 reasons:
#1) It would make less noise to take it in once and leave it. No knocking against trees or brush or scraping noise while attaching it to a tree.
#2) People are basically lazy and since I go into the thick nasty stuff I don't see many others back there. The odds of it being found and stolen are pretty remote.
On the private land I hunt, no problem. Leave it all season if I wanted to.
But sitting in a tree is a last resort to me. I just don't have the patience to sit in a tree for hrs on end. I'd rather slip through the woods and walk up my deer even if the odds of success are lower.