Nope, physics come into play here. Your GF net produces heat. The cooler is directly tied to the laser coolant and you shouldn’t feel any of that. The heat that is extracted from the coolant (and the heat generated by the electricity and what it takes to run a peltier cooler*) gets radiated inside the machine, which then the ventilation whisks away. If you’re feeling cold it’s coming from somethng else, either backflow (my best guess) or another draft just coincidentally near the GF, or maybe a hidden ac vent you don’t know about or IDK what 
* Yes I know I am simplifying, I left out heat byproducts of the rest of the electronics. Lots of very technical people here will be like “yes but, you’re leaving out x or y”, that’s not the point here tech people
EDIT: here’s a post about my louvers