I have two hydro tractors. Both small.
When operating , the fwd rev pedal is every bit as powerful as a brake and a mechanical gearbox. That is, if driving down hill, and the pedal is actuated to provide revers direction, the drive wheels will rotate in a manner sending the tractor back up the hill in reverse. Better than brakes!
With the engine on, but the tractor stopped to do some loading or other task, the tractor will "drift" based on the most subtle position of the pedal on either side of true neutral. I sometimes use this "feature" to advantage when hooking up implements. The parking brake along with shifting out of drive engagement to the Hydro-stat is the way around the drift.
With the engine OFF, and stopped, but with no parking brake set, just relying on the hydro transmission to hold the tractor, it's a progressive acceleration once the tractor starts rolling. There is friction, but the tractor will roll faster and faster even if the lands do not increase in slope.
My place has about ZERO level land, So I get to play with these aspects regularly.
The two mechanical gear tractors are dead reliable, and return immediate responses to stupidity on my part ;-)