If starting from scratch, it is not sensible. It costs more.
Plumbing it in is more difficult, as is mounting fans etc. There is no reason it would not work, but as I said earlier, it is a crazy idea. It is no different from having a radiator in the bottom of your case, and one on the top, or one as an inlet and one as an exhaust. You are heating the air through the first, but fortunately there is sufficient capacity for the air to absorb more heat. You just lose cooling efficiency.
I would try it, but I have no need, and no desire to spend money to try it. My two 280mm radiators cool my system sufficiently with one on intake and one as an exhaust..