Consider two twins, a brother and a sister.
They are of identical height. They have precisely the same arm length. Their legs (both femur and tibia) are exactly the same lengths. But, as would be expected, the woman has a larger distance between her sit bones.
They purchase one bike for both of them. The man gets it adjusted to fit him with expert advice. He rides it and is delighted with the bike fit.
When the woman takes the bike, she determines the distance between her sit bones and her brother's sit bones. She calculates, given the particular curves on the saddle they have, the exact distance she needs to move the saddle forward to keep all other distances constant (see figure), in particular the leg stroke and the arm reach.
Does the thought experiment above make sense? Is this how bike fit, sit bone distance, and the curves on the saddle connect?
Context: I've been trying to convince friends and acquaintances who are newly jumping on the pandemic bike craze to skip buying a "comfort" bike with a "comfort" saddle, telling them that such a saddle is alright for 30 minutes of riding, but that the pressure on soft tissue will get worse on longer rides, and elaborating that the dominant shape of the bike saddle has these unusual curves to accommodate arbitrary distances between the sit bones of different cyclists. Rather than continue spreading misinformation, I thought I'd confirm the accuracy of my tales in this forum.
(If this is all true, who first introduced the particular curves on the bike saddle as we know it? Clearly this continues to evolve. The curves are different on different saddles. The relatively minor invention of padding the bike saddle appears to be due to Arthur L. Garford of Cleveland. It's interesting to know, in the pantheon of bike inventions, who contributed the different-sit-bone-widths-are-handled-by-just-one-bike-saddle invention.)
Secondary question: Crankarms that suit one of the two twins should suit the other, but should, ideally, the woman not also change the distance between the two crankarms (if the difference in sit bones widths is large enoug to warrant it)? Is this parameter accounted for on bikes labeled specifically a man's or a woman's bike?