Deer to be had? Yes.
Reasonably consistently? No.
Or, I guess that depends on what you mean by reasonably consistently. I've deer hunted on public land every fall for the past five years, and I have shot one deer. However, I have seen does at times I could only shoot bucks, and I almost always see deer when I'm out on scouting trips. The deer are there, but shooting one on public land is a pretty significant accomplishment. That's why a lot of us consider anything taken on public land to be a trophy.