Peltier coolers are neat because they're very small and quiet - as opposed to vapor compression systems solutions. However, they are an order of magnitude less energy efficient.
Also Peltier coolers still have to obey the laws of thermodynamics, which means that to cool one side of the mechanism, you must heat the other side. In order to do any substantial cooling, you need a way to dispose of that heat on the other side. This usually involves the use of radiators and fans, which negate much of the size and noise benefits.
As a result, Peltier coolers are pretty niché. Your use case would have to require only a little bit of cooling. You'd have to need a form factor that cannot accomidate a vapor cooling solution. And you'd have to be willing to make the system very energy inefficient.
Unless you want to spend more energy that you remove in heat, stick with heat pumps and cooling towers.
COP = Coefficient Of Performance, BTW. (Heat out) / (power in).
Thermoelectric cooling is not very good and takes a lot of energy to do.
I am no hardware guy and I remember there was a giant heatsink despite the constraints. It was some kind of photosensor + lamp if I remember correctly.
I think there was also some software logic to reduce water condensing at something too cool compared to the ambient temperature.
The question is: Are there large-scale applications?