SpaceX's plan: Put all the data centers in space, then profit

[haele]

4. Vacuums insulate.

It may be cold in space, but in a vacuum, there's no way for heat to dissipate, so hot things stay hot within their range.
I mean, you might be able to operate a data center out by opposite Earth.in orbit once you're able to figure out how to use space vacuum temperature into a cooling system, but that rather defeats the Low Earth Orbit requirement to have near instant access to the data being produced.
You also lose the orbital clearing a planet or moon creates with its gravity