Whilst I think she has a horrid grabby / entitled attitude wrt the cab, I have to partly agree with pigletmania here - I like it if a guy offers to pay for the meal on a first date.
Of course, practicalities should be taken into account, e.g. when we were all students and broke, you'd pay your share. However, in adult dating life and if I know we earn equal salaries, I prefer it if the guy pays for at least the first date. I also like good manners, e.g. opening a door, letting her walk first etc.
I think good manners and equal rights get confused (re door, not paying). I do believe I can achieve anything I want, my husband probably believes that even more than I do, yet he would still do these things to show he cares. It's like getting flowers: Of course I can buy my own - hell, I might even pick prettier ones at times, but it's kind of nice being spoilt sometimes. I do other things to spoil him (and always did for other boyfriends), and pay my way in other ways, e.g. childcare, odd weekend away, some bills, etc.