Many people do do this.
The whole idea of an enclosed reflector is that you pull cool air in from outside the grow room and as it passes over the bulb it "takes" the hot air out and blows it out of the grow room.
There is supposed to be no air from the grow room entering this passage, therefor no carbon filter is needed for this process, you only need a carbon filter for outgoing air that passes through the grow room.
Each to their own though.
I personally believe everyone should use their equipment properly/what it was made for.