My printer (ender 3 V3 SE) has just finished its first winter a modern, but uninsulated garage (insulation on the ceiling but nothing else other than the cavities in the breeze blocks). I think it got down to near freezing, but not below.

Absolutely 0 issues with the printer itself. I have had 1 spool of PLA go a bit stringy due to moisture, but it was just sat in a cardboard box; I made no effort to keep it dry.

To just store your printer there if you are not printing isn't big issue as long as you don't live in a too humid place, if I was to do that, I would leave printer in his original box to avoid collecting dust on it and would drop a few silicate bags. Two primary issues for printing will be to maintain your filament dry (enough) and warping due to the difference of temperature

I don't see a problem.

Though I would potentially get a bit of 50mm (2 inch) polystyrene insulation board and some polystyrene contact glue then make up a box for it.
It'd only cost about £20 to 25 and it's a quick and easy 'just in case' fallback. You know, just in case...

Cover the printer to protect from dust and seal your filament in airtight containers with some sort of desiccant.