Why does it need to be robots?
On Earth we have skeleton crews maintain large datacenters. If the cost of mass to orbit is 100x cheaper, it’s not that absurd to have an on-call rotation of humans to maintain the space datacenter and install parts shipped on space FedEx or whatever we have in the future.
That isn't going to last for much longer with the way power density projections are looking.
Consider that we've been at the point where layers of monitoring & lockout systems are required to ensure no humans get caught in hot spots, which can surpass 100C, for quite some time now.
This sort of work is ideal for robots. We don't do it much on Earth because you can pay a tech $20/hr to swap hardware modules, not because it's hard for robots to do.
Bingo.
It's all contingent on a factor of 100-1000x reduction in launch costs, and a lot of the objections to the idea don't really engage with that concept. That's a cost comparable to air travel (both air freight and passenger travel).
(Especially irritating is the continued assertion that thermal radiation is really hard, and not like something that every satellite already seems to deal with just fine, with a radiator surface much smaller than the solar array.)
Yeah, just attach a Haven module to the data center.
If you want to have people you need to add in a whole lot of life support and additional safety to keep people alive. Robots are easier, since they don't die so easily. If you can get them to work at all, that is.