I don't believe that schools will give you a refund on your deposit (maybe in some extenuating circumstances, but for the majority I think they're non-refundable)
The Western situation is....not great but also is something that's only been seen from Western, there was nothing like that for LIU acceptances/any other school's acceptances last year. You should be alright if you wait a bit to send the deposit, or if you want extra peace of mind you can call them and say you've heard about the "accepted waitlist" that has happened at Western and wanted to confirm that's not something you would have to worry about with accepting your seat here. Plus if you call them and don't say your name, then they won't know it's you asking and you don't have to worry about annoying them! (although I'd be surprised if they're truly annoyed over questions like this anyway)