My understanding of what has been said here in Minnesota is that a person can't be evicted for non-payment during the stay at home order, but that when all this passes s/he will be responsible for paying the rent. So, at least for us, my understanding is that it isn't a "get out of jail free" card, but simply putting it off until the economy is moving again. I can't answer for other states, but it is certainly worth checking into carefully.
In Minnesota, there has been much questioning about this area, so the governor and the state attorney spoke clearly on the subject to quell all the speculation and let both landlords and renters know exactly where they stand on the matter. I don't know if all states are doing this or not though.
Also, I have been saying "my understanding" because it is entirely possible that I misunderstood something in all this that somebody else from Minnesota could come along and clarify further. Since I own and have not had a mortgage in years, I probably didn't listen as carefully as those directly affected might. It can be a slippery slope to attempt to speak factually about things that seem to be a grey area and when things are changing so rapidly.
Tony