'Should' isn't a useful thing in this discussion. When thinking about policy there is only behaviour pre-intervention and behaviour post-intervention.

In this case, you'd note that there are certain businesses that don't consider themselves viable at the current value of unemployment benefits if unemployment behaves as it does right now. Then you see if you're okay with losing those businesses and if you are, then so be it, you think it's worth the trade-off. If you're not okay, then you need to tune the intervention, e.g. unemployment is guaranteed for some time even if you become re-employed, or 'unemployment' is guaranteed to all, or you lower the payment, etc.