"if they’re nice enough to women and tick a set of chivalry boxes, that woman is not just bound to shag them but – to a certain extent at least – obliged to"

I'd be more worried about the guys who actually pull this off, than the guys who fail. Or actually the sorry part is the girls who are suckers for this.

My female friends seem to be suckers quite often. One of them just got back to her dickish ex because "he's changed". One started dating a guy because "he is just so nice". Few months into that relationship she was sexually very dissatisfied, troubled by his jealousy and trying to cope with some violence by him. And those are just few examples.

I asked the latter why she is doing this and she replied "He is nice guy and I don't know when I'm going to have next chance". Next chances would be plenty if these girls would advance guys for a change.

Being asked out by a girl changed my perception somewhat. I've always been able to accept honest no, but it gives certain perspective to be asked out by someone who you're not interested in any way.

This is actually is my all around solution to most problems regarding sexes. These problems are often driven by stereotypes that guys advance girls and girls try to look pretty in order to be advanced. Lose-lose situation.