I was getting an expat salary in a developing country (fairly low by US standards but a lot there at the time) and my wife was a student who wasn't working, living on faith, with no money for eating out. I paid for the meals. But I would have wanted to, anyway. We were both traditionally minded in terms of gender roles. Her country tended to be more that way anyway.
If a man wants to marry a woman who will be a housewife or stay home with the kids, it makes sense to pay for the meals, unless its something like her treating him on a special occasion. It appeals to that traditional and innate desire for the man to be a provider. If she cooks or bakes you stuff and you pay for the meals, you may have the traditional vibe going. But if you take her out to Red Lobster, and she goes straight for the lobster and more expensive appetizers, you may have a gold digger.
When I was taking my wife out to eat all the time, she'd help me spot the good-value-for-money places for us to eat. At first, she'd try to talk me out of spending too much on her for that sort of thing, and the phone, which is expensive for local calls there. I'd tell her it was okay and eventually she accepted that. If she is concerned about you spending too much money like you would be, that's a good thing.