The Law is, employment at the will of either party not just the employer for any benefits.
Exactly. And the employee is protected as well. You are allowed to quit. You will be paid for any hours worked and not yet paid for. You must be offered COBRA benefits that allow you to continue to have your health insurance, as long as you pay the entire premium. That is offered even if you quit.
Once again, you want to make unemployment compensation into a welfare program. It was never intended to be that.