First, snow tire availability? As a guy that lives in Michigan, it is clear that you live in California. ;-)
Ok -- now... Back on track... My GUESS is that he didn't mark anything on your account at this point -- so you probably aren't tagged yet (like I am -- due to the kiosks being unavailable last time I used this code and having to go to the counter where they promptly denied me and put a note on my account).
So, if you go to the kiosk when you get there, you'll PROBABLY be ok. There is no way to be "certain" like you'd like -- you're using a code that hugely discounts the price and was clearly not intended for public use like we are using it. So, there are no guarantees -- this is always a bit based on "luck."
Do everything at the kiosk, pick your car, and then leave the lot. You WILL (ok, 99% chance) have to interact with a human when you leave the lot. They generally look over everything quickly and do NOT question the discount code. That being said, I was told that the lot attendants at LAS have been told to specifically watch for people using this discount and not allow them to leave without going back to the counter. I haven't seen that personally though.
So, quick version: use the kiosk and you should still be fine. Hopefully. And quit calling about snow tires! HA!
- John...