

Figuring out data centers in space is pretty much a prerequisite for any sort of significant transorbital flight
I don’t think that’s true. They seem like two separate problems.
AI datacenters use power at such magnitudes that trying to solve the cooling problem for that kind of satellite or ship might not be all that applicable to a ship occupied by living humans.
A data center satellite might be able to run hot to improve cooling characteristics. The Stefan-Boltzmann law makes radiators much more effective at higher temperatures. So maybe the solution there would involve building out chips and server components that can run hot, like above 90°C, with cooling systems designed to operate at those higher temperatures.
Meanwhile, it might be that the human occupied space stations will need to have temperatures that support human life, closer to 18°C. At the same time, why would a human occupied space station need megawatts of power, and the accompanying need to reject megawatts of waste heat?
Primary energy use per capita is a good discussion to have about our footprints on earth, but they include significant inefficiencies that simply wouldn’t be present on a spacecraft.
First, on Earth, we consume a lot of energy on transportation. There’s not really an analogue in the spaceship side of things, except maybe the spaceship’s own propulsion. Even then, though, most propulsion technology wouldn’t generate all that heat in the spacecraft itself, so there’s no need to cool an equivalent amount of energy used.
Second, we use a lot of energy making our living spaces habitable, with heating and cooling. Using proper reflection and radiation and shielding and all that can help keep a spaceship a comfortable temperature without spending as much energy as would be required to heat or cool a residence on the Earth’s surface.
Third, with Earth statistics, we talk of primary energy usage, which includes a lot of wasted energy. Thermal power plants tend to have less than 50% thermal efficiency, and fuel-burning heat engines tend to have less than 30%. That waste heat is part of the global energy consumption stats in a way that wouldn’t need to be factored in for a solar panel powered spaceship, because there’s not an equivalent source of excess waste heat.
So I think when you look at individual energy usage, you’ll see there are literally multiple orders of magnitude difference between different individuals with different lifestyles, even within the same developed economy. A population who never leaves the confines of the ship doesn’t have to budget energy for transportation (28% of the world’s energy usage), heating and cooling buildings (25% of the world’s energy use), or anything like most of the industrial sector.
For things like cooking or heating water, there may need to be major qualitative differences in order to support a living arrangement in a ship (more enclosed cooking appliances like pressure coolers or microwaves, fewer stoves that emit waste heat all around).
And agriculture is of course the big problem. But we wouldn’t be able to naively assume that the energy use per food calorie produced would be within an order of magnitude. Photosynthesis is really inefficient. So is the whole growing of an entire plant to focus on the parts of the plant that we eat. There may need to be some form of synthetic food, or partially synthetic food, that creates edible macronutrients without a biological feedstock.
But that’s a separate problem. I still don’t think that solving habitable spaceship cooling requirements will necessarily overlap with solving space data center cooling requirements.