
There’s a reason why space suits are so bulky- cooling. In as strong a vacuum as space, “hot” and “cold” kind of lose their meaning a bit. It’s not that space is cold, exactly, it’s that vacuum is a really fucking good insulator. If you put a hot drink on a counter, you are losing heat into the counter (conduction). You are losing heat by evaporation- the hottest particles become gas basically. You are losing it by convection with the air. None of those apply in space.
The only thing that makes sense about putting data centers in space, from my understanding, is lots of space for solar panels. But you’re vulnerable to solar storms. You have problems with heat. Imagine sending parts to space for maintenance! Imagine the latency- any signal you send must be sent wirelessly to Earth. No way you’re getting a fiber optic cable down to the surface!