The approach of keeping people employed with their current employer sees value in maintaining the existing arrangements of employers and employees during the period of suppressed economic activity. Therefore it's a more socialist perspective, viewing a large part of economic value as derived from the common social fabric, and not just the capital of the business. The forgivable small business loan parts of the CARES act seem to be somewhat modeled on this concept.
The approach of firing idled staff and just having them collect unemployment doesn't value the preservation of the employer-employee relationships, and assumes that if they are broken up, they will all re-emerge naturally if necessary after the lockdowns are over. This is a more libertarian approach - no guarantees to employees (but still not totally as it still involves government backed unemployment insurance programs).
The approach of firing idled staff and just having them collect unemployment doesn't value the preservation of the employer-employee relationships, and assumes that if they are broken up, they will all re-emerge naturally if necessary after the lockdowns are over. This is a more libertarian approach - no guarantees to employees (but still not totally as it still involves government backed unemployment insurance programs).