Your theory is interesting but it's just speculative fodder. Getting capacity in something like Medallion is pretty much impossible. The lowly head of a state pension fund would never have access to such capacity.
While skepticism of Medallion is warranted, we're not doing ourselves favors by explaining away its success with activity that would have much more likely killed the firm vs sustained it.
Doing this sort of thing destroys the reputation of hedge funds and is not a long-term positive expected value decision. (See Bluecrest: https://dealbook.nytimes.com/2014/05/29/fund-within-a-fund-c...)
While skepticism of Medallion is warranted, we're not doing ourselves favors by explaining away its success with activity that would have much more likely killed the firm vs sustained it.