The Luftwafffe officially considered that their captured P-47D Razorback (with needle-tip prop!) generally much out-turned their (non MW-50) Me-109G-6 in flight tests. (On Special Missions: KG 200)
Unlike with the P-51D, almost all of the 600 P-47 combat reports, on the Mike Williams "WWII Aircraft performance" site, show a very rapid gain in level turns by the early '44 P-47D on the Me-109G at all altitudes, even in left-hand climbing(!) spirals against gondola 109Gs, usually in less than four 360° turns from the merge... This somewhat excepted turns to the right where the Razorback was still superior but MUCH slower gaining...
The Bubbletop D was around 1000 lbs heavier than the Razorback, and turned slightly worse than even a P-51D Mustang.
I doubt any of the later Bubbletop variants could match the early '44 Razorback turn performance in those combat accounts, but power and wing area could create an upset with the N maybe?
It should be remembered that when the P-47D Bubbletop was being introduced, the P-47D was in the process of seeing a massive change of role, from escort fighter to ground-attack aircraft... The Bubbletop was essentially a ground-attack aircraft first and foremost, and everything about it was optimized for that role.
Gaston