That way you maximize the amount of energy it can shed and minimize the amount it absorbs. You're not cheating thermodynamics, you're just doing better than for example titanium dioxide paint or metal foil normally do because those also reflect as much sunlight as possible but at the cost of of not shedding heat through IR radiation.
The converse could be said that if you use the right material, it will absorb significantly less radiation from the atmosphere while emitting a similar amount.
However there are some bands with very high absorption and if you avoid emitting in that band you could possibly experience locally lower air temperatures or lower levels of a particular band. (I am only guessing that this would be a significant amount)
I think because at that frequency range the apparent temperature of the sky is low.