There's no way I (me, myself, personally) would put cameras on public hunting land. Not only is there a risk of them getting stolen, it also allows someone to use your hard work to their advantage. Just seeing a camera means that there is a spot of interest, and if you go further and pull/import/replace the card they can see exactly what has been there.
There's no worse feeling than heading out one morning, expecting to hunt a spot, and finding that someone is there already (or at worst already took an animal in that spot that you have been stalking). Been there experienced that in Colorado on a 5 day elk tag and no cameras were involved. I have no interest in increasing the odds of that happening again.