Yes, unemployment compensation is a social safety net. Otherwise, we would have private forms of unemployment insurance available on the market, today.
That is what could happen, with equal protection of the law; more jobs in that sector creating private plans that complement that social safety net.
You really have a reading comprehension problem, don't you? I just explained that yes, unemployment coverage is available through both private companies and public. It is not a social program, it's an insurance.
It's the same as Workman's Compensation. Yes, it is a mandate for businesses, but not a social program. Workman's Compensation is an insurance. Like all insurance, employers have the option to choose which coverage they desire; private or state. No matter who provides the coverage, it's still insurance.