Also, the simple solution is that the government pays the rent only for time after the business files an eviction claim with the court. After that, the ball is in the court’s court.

The tenant caused your loss and you can't recover it from the people. Any such procedure would entirely break the model whereby landlords select tenants based on the expectations of remuneration. If the entire government could be made to bear the cost upon request of unpaid rent landlords would be substantially less apt to be careful in their selection.

This would be a good thing, usually people denounce it as “discrimination”. It’s why you “need” a credit card to stay at a decent hotel, it is a credit check by proxy because the hotel operator cannot count on the police to do their job and remove people.

These types of government policies only end up hurting poorer people who have no credit.