It doesn't make too much of a difference. Your deposit is either due on Nov. 1, or by December 1. Only a month difference. If accepted after November, you only have 2 weeks to submit the deposit vs. 4 if you hear back early. Regular decision is by Nov. 17th or so.
Either way, unless you can get a school that would likely accept you in that four week period (not very common,) it doesn't matter to the average applicant. You're going to spend that deposit anyways if you don't hear back from other schools before Dec. 1. At least, if you know early, you can start cancelling interviews at schools you don't want to go to. There's also that reassurance so you won't feel as nervous knowing that you got into school already and more likely to perform better at future interviews.
Also, these schools are admitting students on a rolling basis. Obviously earlier is better. Even though they say it doesn't affect chances, it still does, even if slightly. As classes fill up, they start looking for better applicants