The reason why that won't happen spontaneously is that the employer purchased health insurance subsidy amounts to something like $273 billion per year (as of 2019). Employees would have to pay a comparable amount in additional income taxes to purchase comparable health insurance for themselves.
> Employees would have to pay a comparable amount in additional income taxes to purchase comparable health insurance for themselves.
This is false: they would pay a lost less in additional income taxes. Americans overpay for the same services as every other developed country. They are being fleeced.