Agree independence is a red herring - people of all income and assets and personalities and looks successfully marry and mate.
If someone (either men or women) kept having the same dynamics, their picker is probably off, or they're overlooking red flags and forcing a relationship that shouldn't be forced.
Hard to know without more detail.
If someone is serious, I'd say the vibe is there very soon and no doubts.
I'm not a workaholic myself, but I am wary of the narratives saying it's easy for women who aren't independent to get an affluent protective man....
(Yes, maybe if she looks like a model and is young and already in the same posh social circles - "just working as a secretary or waitress whilst living in Daddy's flat in Mayfair!").
Each to their own and if the dynamic works it works.
But overall, there simply aren't enough of these generous traditional high earning men willing to swoop in and look after all these non-independent women.
So it's making yourself vulnerable to not have something of your own.
I worked in Waitrose as a student job, and though I enjoyed it (staff discount..."smoked salmon again, damn!") there were lots of older women working there who seemed fairly bitter.
They'd relied on partner to take care of everything, but then partners salary had stagnated, and they hadn't built up any other options or finances.
Staying at home baking cakes and being traditional and vulnerable couldn't get their partner to earn more money or change the economy.
So now rather than actively choose a job, they had to pick the first thing going, had lost confidence, and seemed to find it quite demeaning and got quite angry at their partners and life and their family situation.
If they'd put energy into even matching their partners, two 30k salaries is 4000 a month.
(No, there weren't these alpha male millionaires waiting to rescue middle-aged mums working in a shop, just creepy old men who could only afford the bargain corner and harassed all the females there).
Choose a job or finances might make one choose you!
I don't think everyone should be a high flyer if that's not in their nature, but if being independent means an ok grasp of money and capacity to earn money in something that you enjoy, surely everyone should aspire to this?
If you're rich and successful enough so you think gold-diggers target you, just hide it and meet people naturally.
(Some cultures are super open and bring payslips and mortgage statements to dates).