My experience working for a company developing nuclear-powered sterling generators, utilizing computers for processing large amounts of data, and developing space radiators:
- Nuclear fuel is much more intense with different types of particles vs. space radiation. You need large separation between your power source and avionics (or humans)
- Space grade computing technology that can just survive recoverable upset events is limited, large, heavy, and slow. Or you take risks that your short mission time won't result in a failure
- We utilize heat pipes, graphene, aluminum and lots of different coatings for our radiator solutions. You're talking square feet of aluminum for watts of waste heat.
I don't see how data centers in space will work unless they are fixed on the moon, on the poles, covered in lunar regolith, and have rotating solar cells / radiators to maintain proper orientation to the earth and moon.
As others mentioned, the heat shield for JWST is the size of tennis courts, and those avionics are putting out watts of heat, not GW. And JWST was a billion dollar program for one vehicle.
Just because Elon Musk and others got one scifi solution work (landing rocket stages), doesn't mean every idea of his will work or has merit.