One thing to think about that leaving a trail cam on public ground is like leaving your rifle on a stump and expecting it to be there the next day. Some people think that hanging a trail cam on a tree is no different than leaving a beer can under your stand, just trash in the wood to be removed.
A trail camera that is left on my land without my permission will be about as welcome as a tree stand that was set up without permission. In other words, it probably won't be there after I find it. Of course, some of my Amish Dutch neighbors who have no respect for seasons, bag limits, or trespassing laws have made me less tolerant about these things than I once was.
I also feel it is rather lazy to make use of trail cameras, instead of personally putting time and effort in the woods to do pre-season scouting. Why not go one step further, and use camera equipped drones to find and kill your deer?
