I know Dwarkesh Patel was interviewing Elon and brought up the fact that power cost for data centers is only 20%. The number I could find is 7-18%? GPUs are the majority of the cost. I don't think Elon responded directly to that.
There's the argument that licensing to build these things is cheaper in space. But earth has a lot of space in the middle of nowhere that no one would object to. That seems cheaper than space.
And the heat dissipation argument against it seems like a good one but I don't know if it's actually just a small engineering problem that can be solved cheaply or more fundamental.
On the plus side, you could say there is better connectivity in orbit. But if you're running inference, you'd probably want to talk to the same server that has your context cached. As it whips around earth, your latency would vary a lot, right?
I'd love it if someone could point me to a better analysis. It's an interesting question in general. Not just because one of the highest valued companies in the world is based entirely on its feasibility.