Agree, the overhead press, as well as the press behind neck, have a great influence on increasing the BP.
Known some Olympic lifters who have hoisted some very impressive benches even though they practice that lift rarely in training. Think that overhead presses give a more complete base of power than benches ever have,for most men. Not to mention greater shoulder/upper body development.
Same can be said for dips (weighted) for improvement on the BP. Just a personal view, but to me dips (when preformed correctly) can be a much better mass/strength builder that benches. The "V" bar is a very handy piece of equipment for all around dipping and allows different hand grips and hand spacing (narrow to wide to knuckles facing forward or even inward). For most guy's, a "V" bar can allow less strain on the wrist & elbows, given the hand positions. The extreme positions of knuckles in can cause the most stress on the wrist/elbows. Though Girondia seemed to favor this style.
Problem develops when hooking up plates over 220...for me any way.Just a pain in the butt attaching more plates up. Hooked up a floor pulley for awhile, for added resistance when dipping. The great Marvin Eder had been reported to do over 400, for reps, at around 190lb bwt. Others are pretty near that weight in past and present years. Good Luck.