AGPL would do nothing to stop cloud providers having hosted versions. What it would do is mean that a lot less people would be able to use the software as it's

AGPL would do nothing to stop cloud providers having hosted versions. What it would do is mean that a lot less people would be able to use the software as it's a license that is not allowed at most companies. You can argue that this is for the wrong reasons, or it's due to fearmongering, but that doesn't change the fact. I think you have it backwards: a less popular project could be viable with BSD and wouldn't survive as AGPL.