The PUA/ PUC are applicable to independent contractors, self employed, employees that would not qualify for regular state unemployment, etc.
They have to file with the State Unemployment and they will get rejected. They will need to keep the document of this rejection in other to apply to the PUA, PUC or similar program once the State implements the Federal regulations.
As of right now, the State Unemployment offices are three weeks or more behind on their applications based on the panel with other tax professionals that I participated in this morning.
Official Guidance Depart of Labor – https://www.dol.gov/newsroom/releases/eta/eta20200404