I'm guessing Hannah42 and I hunt a lot of the same places here in GA. Virtually all of my hunting is also on public land and North GA WMA's. I've used my bicycle a few times to access some places, but usually just walk. Most of the places where I'd use one are gravel or dirt roads. Most are gated, and the gates are open for some hunts, closed for others.
Personally I like for the gates to be locked during archery and turkey seasons. The way GA law works you can hunt from the road if the gate is locked. If it is open, no. I usually walk the roads during turkey season calling as I go and will then set up near the road if I locate something. I've been as far as 5-6 miles from the truck and once you're more than 1/2 mile past the gate never see other hunters.I could see where something like this could come in handy to get well past the gates before daylight. But not in other places. I ain't getting any younger and could see one in my future.
One of my favorite places is the Cohutta WMA. Roughly 1/2 of that area is wilderness area and is closed to any motorized vehicle, including bicycles. You can't even legally use a wheeled cart for retrieving game. And roughly 1/2 of the other trails on regular national forest are closed to all but foot traffic. That means no bicycles or even horses. But at over 90,000 acres there are many trails designated for bikes and horses. It is one of the premier mountain biking destinations in the Southeast. It isn't unusual to see dozens of bike riders on the trails where they can ride during summer months.