I live in Utah and we get a pretty good amount of snow most years. I have a 2012 JKR with a soft top and never had any issues with snow. I am still on the original top. I don't think you will have any problems with yours either.
EDIT: I do want to add that our snow out here is the light and...
Mine is very similar to yours. Punkn Rubicon, 6 speed, black hard top, and tow package. I ordered on 8/16, checked today and am still in D status awaiting parts.
I placed my order for a Punk'N Rubicon on 16-Aug and have not received an update. I asked Jeep Chat last Friday and there was no update on my order. I hope your salesman was not right, but I am 2.5 weeks in with no VIN or status update.