Oh I'd love to hear what these other ways are 
I think that comment put me off him more than the fact of him not paying maintenance! Slimy little shit, isn't he?
My XH doesn't pay maintenance. And, genuinely - I never asked. I was the one who proposed our financial settlement, so I think he'd have a fair reason to think I was happy with zero maintenance.
Why didn't I?
Well, pride a bit - I don't want his money.
Practicality - I have enough money, and though it's 70/30 access he still has to maintain a home just as much as I do. Also we have flexible access around my work shifts. I just did not want to end up in occasional conversations about "actually I had him more last month..."
All in all, I decided to walk away from about £400 a month. He's a high earner, though I do OK too. I do expect him to pay £150 a month which is half of childcare.
So... I do believe that a woman can be happy not to ask. Especially if they're anyway the higher earner.
However... I have zero respect for my XH. Despite not paying maintenance, he doesn't put his hand in his pocket for a single one of her activities. If he had once texted "how much is swimming - can I pay it/half of it?" I would respect him a hell of a lot more.
I could not date a man who didn't have pride and decency.