Here's an example why I won't use someone else's stand public land or not.
If by chance I spook a deer while I was on that stand you won't see that deer at range without it checking out the stand closely every time he is in the area. With bowhunting it's hard enough without someone else ruining your chances. So because I expect others to be as considerate as me, I won't use it. If it has been in one spot too long, as in public land then I'd leave a note or check with whoever is in charge of enforcing the rules.