I can say with near certainty that...it depends.

Depends on which plane you are talking about.
The experience I've had in a few WW2 trainer type aircraft (various PT's, BT's and AT's) the answer would generally be "no, you don't get full range of motion in one full turn (revolution) of the wheel."
However, you rarely, if ever need full range of motion of the trim tab at any one particular time. Trimming is more of a gradual process, as speed and configuration change.
I can only recall one time I have ever had elevator trim near the stop, and that was a "non-standard" takeoff situation.
Easymo, this isn't directed at you or anyone else but there still seems to be a general misunderstanding about why trim is even on the airplane. Despite what we have all seen or learned in various computer flying games, the primary use of trim is to relieve control pressures, not to maneuver the aircraft.
Hope this helps.