The other day I somehow blew a tire on my handtruck which has handled every single game in my collection for two and a half years over and over (and other things for like 15+ years), another thing you'd think would never happen!
Got a convenient replacement wheel/tire combo from Home Depot and also smells like rubber but I think it's going away reasonably quick. $20 later and I'm good to go!
In your situation, I'm pretty sure one wouldn't smell much less than the other but maybe I am wrong.