GBBR internals are more likely to suffer from very low temperatures than high ones, since the gas cools as it expands.
I always used regular silicone lube and it worked fine, though I think a lot of the time you don't need to worry about lubing the mechanism as if you're using green gas, the lube in the gas will do it for you.
If you use anything oil based then you'll bugger all the o-rings in the mechanism and end up with a FUBAR gas system, hop rubber and magazines.