Why did it take you almost a whole day to clarify that the additional alt accounts in RGL's final response are not yours? It took that long to come up with a believable story?
If you were truly innocent of alting, and they said here are two previous alt accounts you used, your first and most important reaction would have been "those aren't mine, I don't know whose accounts those are". Instead in your post you focus on how old and inactive they are and comparing them to your roommate's account, which is irrelevant, and only when someone pointed out the holes in your story you come up with some clarification about how they're associated with your roommate. Which is still irrelevant information if you're arguing about your own alting ban, not hers.
The most charitable interpretation here is that your inability to focus on relevant facts is hindering your attempts at arguing your case to RGL.