I see what you're saying OP and of course it could be argued that if orbiting doesn't work at all it should have died out as a reproductive strategy long ago. I actually think that orbiting did work - notice how I used the past tense and not does? It is obvious that the dating and sexual market has greatly changed in the last century. Females being allowed into the work force and the sexual liberation were the two most devastating changes. They completely changed everything relationship-wise.
Back then orbiting a female could help to show her that you are a good provider and caretaker, all meant to appeal to her long-term dating strategy. The majority of men did/do this, because females are only really physically attracted to a small percentage of men. I don't think very goodlooking males (8/10 or above) ever orbited femoids even historically. Most of them soon knew that they were desirable enough and therefore often engaged in short-term dating.
Nowadays orbiting is nearly completely futile because women are able to earn their own money and are far less dependant on men. They also have unlimited options due to hypergamy and online dating. Therefore more and more men are simply excluded from the sexual market. The problem is that orbiting has moderately worked for humans for nearly 10 000 years, evolution only gradually changes, so one century would not be enough to adapt to the new modern dating market and to abandon orbiting.