It would be easy to regulate for anyone that makes, or is worth, less than "accredited" levels can only put in X% of their net worth. Doesn't need to have this arbitrary cutoff. I'd wager there are quite a few dumb people making over 200k.
An aside: Income as a method of determining "accredited"-ness is quite arbitrary. Many SWE in the valley easily qualify, where an equivalent SWE in Midwest US would not qualify, just because cost of living/wages are lower.
Two equally skilled investors each looking to invest $10,000 in the same company. Investor A is worth $10,000,000 while Investor B is worth $100,000.
Those two investments look the same on paper but the risk for each investor is wildly different. A test won’t solve for that.