It's cold there because there isn't anything there.
So there is nothing to conduct or convect the heat away.
It's like a giant vacuum insulated thermos.
Is putting data centers in thermos' a good idea?
plus you would have to insulate the servers from the sun...then have radiators like the ISS... i think its just way easier to run a server on the ground
If you had a thermometer that had no heat generation then yes.
If you have a resistor or other heat generating circuit then you need to have the needed surface area to radiate the heat away. If you don't, it will heat up. It's a rate problem.