Multi-app servers usually take much longer to launch, deploying apps and upgrading the servers is a pain, and there's a host of other issues (like not being able to easily allocate resources to apps according to their needs).

> As far as I can tell, it comes down who cares more about the settings for the server

There's a lot of truth to that. I think that the whole devops approach is that they should be the same people. Of course, you might have valid reasons for not subscribing to that approach.