I don't actually think this would be hard to imagine. I've been a huge fan of Space X since it's launch exactly because these types of things do seem feasible because they save so much of money if they are achievable.
A moon base with a secondary launch site, yes. Mining asteroids for precious metals, definitely. I'm not some Luddite.
My only point here is that you can build a data center on the ground trivially easily. Any data center that can exist in space could much more easily exist on the ground... where you can update it and fix things that go wrong. The only issue is politics. I'm entirely happy to be wrong here. If someone can explain the thesis, I'd be happy to get on board.