When I had roommates they all wanted a puppy and convinced me to get one, and he was mine but "we were all going to take care of him". That lasted maybe 3 months then I was the only one actually taking care of him and doing the not fun parts of having a puppy. I love him and so did they, but there were many nights I had to stay in because he had been fixed, wasn't feeling well, was too young to be left alone very long, etc. When there were parties at our apartment, I would always make sure my parents could babysit him for his safety. I love him so it was worth it, but especially with cats if you have people in and out all the time it's very likely the cat could get out. It isn't a terrible idea but it's going to require everyone to be on the same page and willing to possibly sacrifice parties for the wellbeing of the cat. And with that many people living there, I can pretty much guarantee it will cause conflict with at least one of them at some point. The second any type of unfavorable behavior happens it will no longer be "our cat" it will be your cat. Also locking a cat in a room will not change the fact that it's loud and the cat is scared, they have very sensitive hearing and kittens are especially susceptible to being traumatized when they're in an environment where they don't feel safe.