The radiator is there to exhaust heat. If you blow it back into the system, then it's not the ideal solution. Some people mount the rads inside the case, and since some rads are very restrictive, it's hard to blow air out the case through them. Plus air in the case is heated, so their best solution might be to cut holes in the top and blow the cold outside air over the rad and into the case.
This is not ideal. You want the rad mounted outside the case altogether, because ambient temps are always lower than internal case temps. Blow cold air from outside the case out and away from the case, not into it, for the most ideal setup. It only takes an inch or so of space between the case and the rad to create enough room for ambient air to flow through the rad.
For some people aesthetics are #1, and they may not need the extra degrees this method gives them, so they may choose to mount it in a way that is not ideal from a cooling perspective just so it looks good and/or is more quiet.