This is an unknown. 100 different landlords will have wildly different criteria. I think that foreclosures will be more accepted out of necessity.
If someone has otherwise decent credit, the “system” is going to want them to buy a house again, and will adjust criteria accordingly.
A simple change for FNMA backed loans that a FC is ok will pump life into the market. I expect it to happen eventually.
Things that are shunned today will become acceptable.
Sometimes that’s called progress. In an effort to sell more houses to people that wouldn’t otherwise qualify, it will be a “necessity”
The FHA secure program is willing to overlook late payments made AFTER your ARM adjusted. This was unacceptable for a refi in August and before.