i am not saying its a good idea, just wondering because you say space has no temperature, but that makes no sense for the reason CMB radiation would prevent you from having 0 k right? and in fact how would you even measure it? wouldn't the measuring device its self have way more then 0K?

plus you would have to insulate the servers from the sun...then have radiators like the ISS... i think its just way easier to run a server on the ground

Why did you say "eventually" in your original post? That answers your question.

It's a rate problem