I seriously doubt any real information about who gets the whip exists anywhere in Konami's hub of operations, let alone what the real deal is behind the ties/division/rivalries separating the Belmont and the Morris families. With that in mind, I think it's safe to say that whoever gets the most well-thought out reason for inheriting the damn thing is given the whip. Whether it's a male or female hunter is an entirely different call to make.
By the way, seeing as how I've managed to keep my mouth shut for quite some time, I'd like to take a moment to say that--... *sigh* For a guy who makes such serious claims about storyline consistency and continuity in the CV series, Igarashi-sama did a bang-up job delivering a totally unoriginal supernatural-goth anime protagonist for Order of Ecclesia, bolstered considerably by a total disregard for the entire "Dracula/CastleVania 100 year cycle resurrection," AGAIN! and the most vague time setting in CV history. "Early in the 1800's?" What, did he think he could get away with bending the rules of Dracula's return by not being specific?
Seriously, I have no personal animosity towards the dude. Never did. But I do hope deep down that Lords of Shadow sinks his mythos like so much faulty outdated hardware.