I'm not sure that you would. You might think that cooler ambient temperatures mean less cooling required, but it's really a matter of rapid heat transfer away from chips, which is why electronics in satellites need active cooling, despite the temperature of space being near absolute zero.
Yes, you'd still need a full forced air cooling system (especially with modern datacentre densities), so the only gain would be from the there being a higher temperature gradient for your heat exchangers to work with.
There's no way that by itself would make enough of a difference to justify building a dc there, given all the other negatives that others have mentioned.
That data center likely still uses liquid to liquid heat exchangers with a chilled water loop and cooling towers to reject heat outside, but I could be wrong. Piping refrigerant around a massive building costs way more than chilled water, same goes for filling up the system, glycol and water is cheaper than refrigerant.
That's inevitable, really, given the way power densities have been increasing. I wouldn't be surprised if people weren't also experimenting with high pressure Helium and similar technologies.
It's certainly a far cry from opening some windows and stringing a few fans together in the hope that the chilly outside air will be enough to keep things cool!
Before we go down that path, datacenters full of oil tubs seems to be a trend in some spaces. Very good cooling power, low-tech heat extraction (small pumps to make the oil move, car radiators with big simple plumbing... do the trick well).
I'm not sure that you would. You might think that cooler ambient temperatures mean less cooling required, but it's really a matter of rapid heat transfer away from chips, which is why electronics in satellites need active cooling, despite the temperature of space being near absolute zero.