The A6M's elevators became heavy at higher speeds but did not 'lock up' or otherwise become ineffective, and according to the Japanese test pilots the effectiveness of the elevators was acceptable. This was also as reported by the Japanese service pilots. If the elevators locked up when Meyers did the flying then the elevators were either damaged or sub-standard due to another cause.
According to Japanese test pilots and service pilots it was the A6M's ailerons that locked up at higher speeds. The relative ineffectiveness of the ailerons at high speed was primarily due to the large aileron surface area, which made the aerodynamic forces difficult to overcome by manually operated mechanisms. In order to meet good control requirements over the higher speed range of monoplane aircraft you often need to compromise control at one end of the range or the other. If you use longer lever arms to allow the pilot to deflect the ailerons more easily at higher speeds then you end up causing loss of control sensitivity at lower speeds. If you use shorter lever arms you increase the control sensitivity at low to medium speeds, but the ailerons tend to become heavier at high speeds. Although you can mess around a bit with the basics of mechanical advantage, there will be trade-offs in expense, weight, complexity, etc.
This is part of the same mechanical/aerodynamic reason the P-38 had a poor roll rate before the adoption of hydraulic boosted ailerons. This is also why the service P-47 models had a mediocre roll rate at low & medium speeds. The ailerons had to be large in area, and/or have large deflections, to get acceptable control at very high altitudes where the aircraft was designed to operate, while still being able to be moved at high speeds. The later P-38 got boosted ailerons and so was able to use the full(?) aileron travel, while the P-47 had its deflection angles reduced via a change in leverage which allowed the pilot to exert enough force to roll the plane acceptably at higher speeds.
FWIW
________________aileron______deflection_____ wing______ wing
_______________area (ea)______ angles_______ area______ span
A6M3*________ 10.10 ft2_____+27°/-21.5°___ 241 ft2_____36' 1" (from original Mitsubishi A6M3 drawings)
Hurricane______10.20 ft2_____+22°/-21°_____257 ft2_____40' 0" (from Hurricane Mk II manual)
Spitfire_________ 9.45 ft2_____+26°/-19°_____242 ft2____ 36'10" (from Spitfire Mk V manual)
P-38F_________12.72 ft2_____+23.5°/-8°____ 327 ft2_____52' 0" (from P-38L E&M manual)
P-47B(early)___ 13.16 ft2____+25.5°/-21.5°__ 300 ft2_____40' 9" (from P-47B-D E&M manual)
P-47B/C/D____ 13.16 ft2_____+16°/-12°_____300 ft2_____40' 9" (from P-47B-D E&M manual)
F4F____________6.60 ft2_____+19°/-15°_____260 ft2_____38' 0" (from F4F-3/-4 Detail Specifications)
F4U___________ 9.05 ft2_____+19°/-14°_____314 ft2_____41' 0" (from F4U-1 E&M manual and F4U-4 Detail Specifications)
P-39D_________ 7.37 ft2_____+26°/-10°_____213 ft2_____34' 0" (from P-39 E&M manual)
P-51D_________ 6.36 ft2_____+12°/-12°_____240 ft2_____37' 0" (from P-51D/K E&M manual)
* I could not find an authoritative reference for the area of the ailerons for the A6M2, but from drawings and photographs I think the area is around
11.2 ft2 each.