I think you have the shape of this wrong, but that's a sideline theoretical discussion (interesting, but not germane to the point you're making, which is very important).
If we generalize past the 'which set of highly-compensated knowledgeworkers loses their jobs first?' question, we can simplify to saying that a big chunk of the middle- and upper-middle classes (and also some truly wealthy people) will find themselves out of work over a few years. And 'few' means FEW. If you're 30 and working today, you will not see 35 before these changes land.
The changes won't look like the long, slow debilitation of, say, union factory jobs did over the past 50 years, where people had generations of time to adapt. (And I'm not saying that didn't suck, but still, time lets you consider options like 'moving where more jobs are' and 'starting a landscaping business for the rich folks who gentrified our former factory town.') NONE of these dodges will work to preserve your income this time. AI air-drops benefits to wherever there's internet. There will be no places where (whatever you do now) isn't threatened. The leading edge is going to be messy, for sure, so it'll LOOK like there might be opportunities with companies that seem fixed on staying well behind the leading edge. But we're talking precarious at best, and finding these bolt-hole jobs will be harder and harder because competition for them will be fierce. 'Just become a plumber!' isn't as easy as it looks, either. And you can expect the still-jobbed blue collar workforce to resist mass incursion of 'smart, plucky, can-do marketing managers' into their ranks (dropping prices for work and otherwise screwing with a good thing).
So people (both sexes) will lose jobs, and the luckiest among them will maybe 'bounce along the bottom' for a while thinking they can reach a stable state. But a couple years in, a huge and growing chunk of the core of the knowledgeworker economy will be skint. And then the real horrors start: no income, no mortgage payments, no paying down college debt, etc. -- everything people have built, and every assumption they've made about lifestyle, retirement, and of course family creation, will fall like sand through their fingers.
I think most people -- men, women -- impacted by this will choose to go down together. Or they'll choose to rise up together, which gets us, basically, to the Butlerian Jihad. Where millions of people all around the world -- all raised to think they were doing the right things, being smart, working hard, having plans, saving, buying property -- all that jazz ... stand up and say "No, y'all can't abrogate the Social Contract like this on us. And no, we _don't_ want to, say, cannibalize our parents and grandparents decades of hard and honest work in order to squeeze out a few more years of owning kitchens with nice fixtures. No, we do not want to all move into repurposed, stacked-up shipping containers. No, no -- we really don't."
What I _don't_ think is a real problem (except in a very small number of bubbles) is global change in mating patterns due to the male population suddenly being force-redefined as 'guys who stay home and play videogames all day while their women work.' There will absolutely be some of this (and this always exists, even now). Absolutely some young, pretty women will (continue to) re-evaluate opportunities for income-generation and/or assortative mating as the rules shift. The AIs will write future 'Vanity Fairs' and 'Madame Bovarys' about these women.
But it's not going to be most guys' biggest problem in the middle of the Butlerian Jihad.