It depends but in most cases of the initial phase of the recovery and climb - yes. The comparison between these two requires consideration for the differences in weight and drag as the zoom climb continues. The Mustang weighed less and had less drag but the P-47 had more Thrust Horsepower.
I wouldn't bet the farm on the evaluations. The use of 100LL instead of wartime 130 or even 150 octane limits the Mustang the most in these evaluations and I am mystified regarding the discussion of stick forces in the turn and reverse maneuver comparisons. You probably also noted that the dives were all at 30degrees - which would favor the heavier aircraft slightly and in no way pushes the test to Vne - The Mustang and P-47 were very close in terminal dive speeds but the Mustang's entry and recovery from Ncr were more benign.
I'm curious of how the 30 degree angle dive would favour the heavier aircraft. Recovery from nearly hitting compressibility? The P-47D-30s and above had dive recover flaps installed. Pulling out is much more physically demanding on the P-51 compared to the P-47 or any other allied fighter. What is Ncr?
As to the comments regarding the Mustang's handling characteristics in maneuver and marveling at its combat record despite the high stick forces? Guys like Zemke who flew the P-47, P-38 and P-51 in combat clearly favored the Mustang to fight with - citing its maneuverability, performance and range. He scored victories against the same enemy in all three aircraft.
What was Zemke's preferred dog fighting style? Just by doing some quick research he did exploit the P-47's strengths of BNZ. Pilots like Erich Hartmann seemed to prefer the style of "Boom 'N' Zoom", He said in an interview that he'd only attack if he had 2000 meters of clearance above the enemy. I can only imagine a plane with lighter stick forces and greater firepower would favour this roll. Possibly a dog-fighting roll would favour the P-51 due to its greater acceleration and turning capabilities. From what I can find on the P-38, obviously depending on the variant of which he flew. The P-38 could turn a slightly tighter radius and could roll faster than the P-51. I'm making the assumption that he probably favoured the P-51 over the P-38 because of its superior visibility.
As an aside, if you wish to explore another documented test comparisons of 125+ fighter and test pilots from Army, USN, USMC, RAF, NACA, and the manufacturers comparing all the top Allied Fighters - day and night both - then read the "Report of Joint Fighter Conference - NAS Patuxent River, MD 16-23 October, 1944". The aircraft tested and compared and ranked for Stability, Controllability, Performance, Armament, Cockpit, Power Plant and Protection. The aircraft included F4U-4C, P-47D-30, P-38L-5, F6F-5, F7F-1, XF8F-1, P-61A, P-51D-15, Mosquito, FG-1A, P-63, FM-2, XF2G-2, Zeke-52, Seafire
Thanks, I'll take a look.