That simply isn’t true, the video I linked explains everything clearly, for a 20kw satellite the cooling area is needed very modest.
Still not a great idea and I am not advocating for it, but people need to stop fighting bullshit with bullshit and start fighting it with truth.

It's a single rack rather than it being a whole data center. The whole constellation of satellites is the data center.
Again, I'm not advocating for this as a good idea, just saying that cooling is not the reason it is a bad one.