Aircraft pulling the same G in level flight will have the same rate of turn.
BUT ONLY IF AT THE SAME VELOCITY!
See the Mustang video I mentioned earlier. Because of its greater VELOCITY it needs a bigger turn radius than a light SE plane, and thus has a SLOWER turn rate. Note the greater weight of the aircraft is not a factor, except for the fact more power and more lift are needed to pull the same G's (same bank angle).
The SR-71 often needed three or four STATES to complete a 180 - giving rise to the maxim "You haven't been lost until you've been lost at Mach 3!"