You're probably going to be in the 'maybe' zone for storing the tires warmly. Chances are you'll be OK with them in the garage & on the car ... but I wouldn't say you're being obsessive by removing them & storing inside either.
In any case, I'm moving this discussion to the general ZL1 forum because this topic probably affects more Americans than it does Canadians.
Note, if I've gotten any facts wrong in the above, just ignore any points I made with them
don't believe a thing you read about the next gen Camaro -- as history has proven time and time again:
WE DO NOT TALK ABOUT FUTURE PRODUCT PLANS PERIOD FbodFather
Camaro5 Fest sub-forum