My garage is my game room, and we get colder in the winter, and around the same in the summer. I have never had any issues with the games, but it is a pretty extreme temperature change. I started heating and cooling my garage one I started buying more expensive games, and I try to keep it between 60 and 75 at all times now. If I had space in the house for games, I would put the expensive ones inside, and save the money in the garage.
Again, I never had any issues n I wasn't controlling the temps, but I want to keep the nice games nice just in case. It is also really nice to have the garage comfortable for me whenever I decide to go out there.
I am only using a $700 portable unit from Costco, and it works pretty well. It costs me about $50/month to run it. It would be cheaper, and most likely better use a mini split system, but the upfront cost was about 5 times as much, and we plan on buying a bigger house with space for an inside game room in a couple of years, so it didn't make sense to install one here.