In Italy we are more pragmatic...
If the two people on a date are both students, and live on a tight budget for example, each of them pays for themselves ( it is called the Roman way, here
)...
If the man is rich...it is right he pays for both.
I think that's pretty much how it goes in practice around here, too. If two people like each other and want to spend time with each other, then the question of "who pays" should be more a question of practicality than some kind of ritualistic tradition.
In practice, I think more people are pragmatic about it more often than not, and it seems the only time it becomes an issue is when people talk about it in the abstract, such as in dating columns, social media, etc.
Some people still consider that "it's the man's duty" to pay on dates, just because it's traditional and how things have generally been. The idea that "whoever does the asking should do the paying" might also be questionable, since it's also "the man's duty" to do the asking.
But a chief complaint nowadays is that men aren't fulfilling their "duties." I've heard some people lament that "chivalry is dead" and similar complaints. I've heard women complain about guys who are cheap, who don't want to pay on dates.
On the other hand, there are some guys who absolutely insist on paying - as it would be seen as emasculating and quite embarrassing for a man to let a woman pay on a date. But such an attitude would be deemed "sexist" and "chauvinistic."