I remember one objection to Peltier coolers in that application is that could possibly cool the CPU below the dew point and cause water condensation, something a fan can't do.
I'd really like to try out these better peltiers, our current ones suck. And the fans to remove the heat are huge and loud.
https://en.wikipedia.org/wiki/Magnetocaloric_effect
and
https://en.wikipedia.org/wiki/Elastocaloric_materials
of course they also have the dew point problem, but so do ordinary refrigerators and freezers.