If they are going to do that, offer several levels of insurance, why not just tell the employee, "Find a company you like who will insure you for $_____.00, we will pay that premium amount from your pre-tax wages, just like we do your 401K."
Then, if you ever quit your job, or even if you got fired, you would still be insured because you are the one who signed up for the policy. You'd pay the premium while unemployed (and not that bullshit COBRA insurance.)
You'd look for your next job saying," My salary needs are $___________.oo and my health insurance premium is currently $_____.00."
AND just like your auto insurance, or your home insurance, you could constantly shop around looking for better coverage. What's wrong with that?
Joe(COBRA didn't cover me because my previous employer, who went belly up, had one too few