Hi Horseman,
As others described, it helps bring the cheek rest or stock to your face rather than you cocking your head to make contact. It is a nice feature on rifles but not as critical as it is for shot and fowling guns. The sights on rifles give you reference points to position your face properly on even a relatively ill-fitting gun (within limits of course). A fowler needs a more natural fit that brings your eyes in line with the barrel automatically and enables quick wing-shooting at moving targets. Height of the comb, drop of the heel, length of pull, and degree of cast off (and balance of the gun) are measurements to which I pay close attention when fitting a fowler. I want the fit to be such that I can sight down the barrel properly without cocking my head, close my eyes, lower the gun and then raise it to shooting position without opening my eyes. When I open my eyes I am still properly sighted.
dave