Students will endure that walk if where they are going (or coming home from) is an event.
When I was at SU I lived on Clarendon, and EVERY Thu/Fri/Sat nights there would be mobs of kids walking to the M-Street bars from my street, Ackerman, Lancaster, etc. It was freezing and miserable and we did it because it was an event, so to speak.
I could be wrong, but I'm thinking the kid who won't walk to an off-campus stadium from the Mount because it's cold isn't walking to the Dome either. We're talking about a few extra minutes.
Ultimately, if they build a new place it should be located with consideration for maximizing attendance for the most amount of people. And that prioritizes locals over students.