Yes, okay.
My fear is, though, we would likely see the provision of insurance altering the employment and unemployment outcomes. That would likely encourage a higher level of separation, sometimes in the form of quits, other times in the form of layoffs, higher than the counterfactual, more than what would otherwise be the case.
Ideally, we want to cover losses, which are totally unavoidable from the viewpoint of the employer as well as from the employee. A lot of details would have to be ironed out. We might have to experiment with a pilot project or two to gauge the values for the level of earnings that are covered, the percentage of prior earnings that would be covered, the length of the prior contribution period and the length of the benefit entitlement period.