IMO the big problem is the lack of maintainability.
And you also need it to make sense not just from a maintenance standpoint, but from a financial one. In what world would launching what's equivalent to huge facilities that work perfectly fine on the ground make sense? What's the point? If we had a space elevator and nearly free space deployment, then yeah maybe, but how does this plan square with our current reality?
Oh, and don't forget about getting some good shielding for all those precise, cutting-edge processors.
You can have a swarm of small, disposable satellites with laser links between them.
And for data centers, the satellite wouldn't be as far apart as starlight satellites, they would be quite close instead.