I wouldn't say that I was "required to". Barco specifies a 95 degree maximum ambient temperature, but no minimum. If you haven't accumulated any rust on unoiled metal surfaces and your sheetrock has never shown signs of mold, then heat might not be a big deal for you. At minimum, I'd probably get some of those moving blankets from U-Haul & cover the projectors up.
In my case, I do keep the booth heated, but that's because of the humidity here. During the off-season I keep the snack bar at a minimum of 45 and the booth at 55 (the minimum my heater will go). We don't tend to get below the upper 20's during the Winter.
My rule of thumb for this stuff, and the 13 broadcast transmitter sites I take care of is; If it's comfortable enough for me, the electronics should be fine.
Personally though... I would probably tend to heat the booth up some, before firing all this gear up. After it's up, booted & running on its own, I'd be less likely to worry. No science behind that... just seems to make sense to me.