Yes if the front of the seat is too high it could be digging into your crotch. But you don't want to tip the front too far down because you'll either slide forward onto the narrow part, and still hurt your perineum, or you'll spend all your energy pushing back with your arms and getting sore wrists and hands. The seat should be level or just a tiny bit higher at the front.

By the way with the quilted and sprung triangular seat you mentioned above, you probably sat more upright on that bike so that avoided perineal pressure. However, that position makes for poor aerodynamics and thus a slower, harder commute.