I'm also someone who tends to set a few alarms and snooze my way through the first couple if I'm not disturbing anyone with it, but if I have an important reason to be up I always manage to respond to alarm #1 and I suspect most people who claim they 'can't' get up with just one alarm could also manage with sufficient motivation. I guess it comes down to whether not unnecessarily disturbing OP for a significant period of time is sufficient motivation for OP's roommate to just get out of bed the first time round.
I'd consider it a pretty gratuitous and inconsiderate interruption of my sleep if a roommate decided they needed seven alarms every single morning and I'd probably make a fuss about it. If you can't get up on alarm number 2 or 3 at least, either get more sleep, get a louder alarm, or get some more willpower tbqh.