You might want to contact the DreamHost abuse department directly with this question, at firstname.lastname@example.org.
In my mind, there are other potential Terms of Service issues here other than the appropriate or acceptable use of disk space, as copyright issues regarding the contents of the "saved game" files could also be an issue.
This is not a clear section of the law at all, and can be greatly impacted by individual games' EULAs . In short, if might be a can of worms, and I suggest you consider contacting a qualified intellectual/imaginary property attorney for some guidance.
Disclaimer: I'm a geek, not a lawyer, and any legal advice you get on a forum on the internet should be treated as though it is worth exactly what you paid for it!
--DreamHost Tech Support