Even though it's a tax write off for companies, it still costs them money. Less for insurance means more in their pockets, so you'd think they would be all over this.
But be careful of what you ask for.
I know of people that change jobs because they max out their health insurance, so the only way to continue is to start over with another employer / insurer combination. What happens if the insurance follows you, instead of being stuck to an employer?
Companies also have buying power and have to provide equal coverage to employees. So another person is uninsurable but once they marry, their spouses insurance will cover them. Again what happens if the policy follows you and there's no 'employer clout'?
It's one thing to have a provider when you have nothing else but totally another if we eliminate the current system. I don't think anyone is proposing that.