That actually makes a lot of sense...
You see...
A6M5 Mod 52 initially had 545kph at 6000m , 7:27 to 6000m rate of climb. It has the same engine as Ki-43-II
Then from around Late September - October 1943 it received individual exhaust pipes and were aimed backwards which created extra thrust.
New performance became: 565kph at 6000m, 7:01 to 6000m
Ki-43-II Ko had 515kph at 6000m but later came Ki-43-II Kai around September 1943 which also incorporated this feature of additional thrust.
The Speed for Ki-43-II Kai would of increased to roughly 535kph at 6000m at military power
Now... Ki-43-III Ko also has the individual exhaust pipe feature getting benefits from it as well.
Ki-43-III ko new engine has 1190hp at SL with WEP, roughly 1065hp at military power at SL (also 1230hp at 2800m)
1190 / 1065 = 1.1174 , engine power WEP multiplier
Cube Root of 1.1174 is
1.0377
The Source shows that at military power the engine optimal altitude is up to 6800m and we can be more or less sure that the WEP at 5850m is offering full 1.1174x engine power boost as well compared to military power at that altitude of 5850m. Both Ki-43-II and Ki-43-III have rather similar engine power at military power at 6000m.
The Source says 550-560kph at 5850m.
The Speed at military power without WEP at 5850m would be 530-540kph for the Ki-43-III Ko
550 / 1.0377 = 530
560 / 1.0377 = 540
Considering Ki-43-II Kai has roughly 535kph at 6000m with roughly 950hp at 6000m and Ki-43-III Ko has 950-1000hp at 6000m
It shouldnt be surprising