The issue here is if you are handling the hosting of these sites, you are the one to get and handle the DMCA mail when (and it's an inevitable when) your customers do something that runs afoul of the contemporary copyright process.
Might want to approach it instead as a consulting service that helps folks set it up on hosting that they are responsible for and have their names on.
Can you elaborate on this? Do you mean that if I, as a streamer, set up my own entity (LLC or whatever), I would have more leeway in responding to DMCA complaints, even if I ran my stream on something like EC2 or a typical "dedicated server" or colo?
Might want to approach it instead as a consulting service that helps folks set it up on hosting that they are responsible for and have their names on.