I just want to point out that "gender roles" is a sliding scale. My DF pays for 90% of dates. And yes he conforms to certain gender roles - he opens doors for me, insists on walking 'street side', will always take the heavier bag, etc. But he's not radical - he's fine with women working, and having independence and making decisions and all that stuff. His boss is a woman and he zero issue with it. He has plenty of female friends, and doesn't modify his language or stories or general behavior around them or treat them differently then his guy friends (except for opening doors for them, letting them enter first, etc). To him slight gender roles are simply an easy default. And to me often they are too.
I'm much handier then him - I don't particularly trust him to handle power tools. And we both agree I'm the better driver. So the roles aren't strict or defined, etc.
But the simple fact is, he makes more money then me, and it makes him feel good to buy me dinner. But on the opposite token, although I'm not obligated to, I enjoy cooking him dinner, and I'm much more inclined for example to iron my own clothes, so I offer to iron his. Just like he carries heavy stuff because he lifts weights, so he looks at it as a supplement to his workouts. So we do follow gender roles, but not out of obligation to our genders, but simply because we tends towards them anyway.
It could be your new flame is follow a gender role because its comfortable for him, but doesn't need you to subscribe to any for yourself.