Starlink gen 3 satellite is designed to dissipate 250 kW. You are talking about an already solved issue, with real hardware already being built today.
Perhaps, but the parent comment posited that some people would pay the premium for orbital data center due to much better security. At $200 per kg to orbit, it could make sense.
It's not that hard, Starlink constellation already dissipates around 100 MW of heat, split over many satellites. Any orbital datacenter would use similarly distributed satellites.