That is not a solution. That's like saying "Prices of McDonalds burgers are really high, the solution to that is to give a fixed $15 tax credit for every burger people buy".
A single actuarial pool is like not having a pool at all. If you want to support a single payer healthcare system, then say so, don't call it a 'single actuarial pool' because then the word 'actuarial' doesn't mean anything and at that point it stops being an 'insurance'.
Having a single pool doesn't kill the 'actuarial' part. Fixing premiums by law does. As does the fact that health insurance is more "prepaid medical care" than "insurance".
