I'm going to go out on a limb here and say that Tesla is not going to allow any modes the car allows an owner to select are going to have detrimental effect on the battery pack.
I'd modify that to say severely detrimental.
Yes range mode limits A/C performance for cabin cooling... but they aren't going to allow you to cook your battery. Yes, that mode will not heat your battery as aggressively in cold weather, but a cold has no harmful effect on the pack... getting too hot does.
Agreed. Cold doesn't matter (although LiIon cells can't get below freezing). Heat matters. While charging, the battery will be kept cooler if range mode is off (speculation based on cold weather behaviour). When driving, there's no problem with range mode on, although I've found that it doesn't really help range in hot weather, while it does help in cold weather (although on long trips it doesn't matter in the cold either.)