I don't see why they wouldn't. I guess it depends on what you believe the main trigger is. I personally think its appearance. Every man has either been on the receiving end or seen a woman clearly smile at a guy or initiate some sort of contact to push things in that direction (date etc). Most of the time a woman won't be able to to determine anything for certain about your true lifestyle/net worth - she only knows she likes what she sees when you first appear on her radar.
What sealed it for was some of the traveling i've done. I realized (both directly and indirectly) women use it as an outlet to have fun.