I'm going to avoid going on a rant about these hypocritical women considering themselves feminists and say that they're asking for men to be chivalrous:
behaving in an honorable or polite way especially toward women
showing respect and politeness especially toward women
But even the examples you state are more extreme than the current accepted terms of chivalry:
Yes, chivalry is alive and well—thing is, you're doing it wrong. That ye olde code of conduct that taught guys how to be nice to damsels in distress isn't, well, up to code. First, they're not in distress: Today women can open their own doors, sometimes to their own offices, where they sign your paychecks. And second, that behavior just makes you look silly. That's why we had Lauren Bans come up with the new rules of chivalry.
If you read through the examples, even this list doesn't allow for the man always paying.
And it also doesn't really apply to the second one... which is really more tied to the concept of the man as breadwinner and woman as homemaker.