both things are exercising power - but they're only powerful (i believe the word used was 'control[ing]') if you're an interested recipient. If someone doesn't want to be flirted with, they won't find themselves chatting up the skimpily-dressed woman. Or letting the bloke buy them drinks. and yes, some women find blokes who flash cash very much the turn-on. I also know that some blokes don't find women showing lots of flesh attractive. I'm very familiar with the traditional male = visual / female = narrative sexual triggers - there is a huge amount of written pornography which is generally consumed by women. But not all men respond to the same visual triggers, just like not all men prefer glossy american porn (or even enjoy porn at all).
yes some (straight) women fantasise over the kind of bloke they want. and for some that will be money. the whole footballer's wife wannabee type will openly admit that they actively go for rich blokes. others are into creative, tortured muso types... and blokes who are that type often put on their own show - self-consciously playing with power and attraction by gettinga guitar out at a party, or cornering a girl they think will be interested and spouting philosophy at them. it's all part of the same thing. some people of both genders enjoy putting themselves out their and seeing what power their particular brand of attractiveness will have. and it's entirely harmless. no one is being controlled. if you weren't interested you'd walk away.