There's not even a credible way to transfer meaningful amounts of data to and from a deep-space based data center.

What good is compute if you can't interface with it? This is where we are now: https://en.wikipedia.org/wiki/Deep_Space_Optical_Communicati...

SpaceX may be leading in short-range (few hundred km) space-to-space data transfer but there is a long way to go for terabit/s deep-space links.