My claim comes from the Bunrindo book on the Ki-61, which I’m still slowly going through as translating every single page is tedious. But there are pilot testimonies of them maxing out the airspeedometer (well past 700kph) and obviously living to tell the tale.
As for the various features you mentioned, they can all be found on other piston engined fighters with similar IAS limits. The mach limit for the Ki-61s isn’t impressive.
Unless the rivet counters haven’t gotten to the P-47 and called them unbalanced, the Ki-61 is quite a ways behind it in mach limit. In fact, you’d have to go all the way down to the Wildcat to find a M0.75 limit, with all the other single engine fighters that come after it being able to go at least past M0.8.
Then we can compare it to the Bf 109s:
Here’s an F-4. Single spar wing, yet boasts a higher mach limit and only slightly lower IAS limit. It’s a similar story even with the earlier E-4.
So I doubt that a plane that took very obvious inspiration from a certain european fighter and was remarkably rugged (with its wings tested to 15G equivalent, surviving that with little damage, at which point they stopped testing and moved on) would somehow have both a lower IAS and mach limits.
The Ki-43s were all very lightly built and not as fast, so they’re more exceptions than a rule.