Radiators are raised because it's a known constraint and we know that Stefan Boltzmann implies a lot of radiator mass to be launched even at 100% cooling efficiency and there are also theoretical limits to launch efficiency which Starship is rapidly approaching.
Nobody is saying orbital datacentres can't be cooled, they're saying people arguing launching the mass of the required radiators into space is a better, more cost-effective cooling solution than pumping local water because "space is cold" are talking nonsense. Potential solutions don't look like trying to get 5000 engineers to invent radiators which defy the laws of physics, they probably look like amortising the costs over multiple decades of operation and ideally assembling the radiator portion of the datacentre from mass that's already in orbit, but that's not a near term profit pitch....
Space is cold. Space is also an excellent thermal insulator - there's a reason why Thermos bottles use vacuum for insulation...
I read the comment that I replied to as these challenges being a large prohibitor to this development, and I pointed out that these seem like challenges that can be dealt with mostly in isolation from other challenges and in particular not require a large number of engineers to deal with.
Of course the major exercise becomes about total cost efficiency, but I think a large attraction is that once you've solved space deployment sufficiently, you don't need to keep dealing with local circumstances and power production adaptations to every new site you're dealing with on Earth, as it's more about producing a set of modules you can keep launching without individual adaptation - not about "space being cold".