I think your thoughts on the numbers is interesting. My current "date" said that he thinks it's almost 1:10 ratio of men:women. So men may be online and find a ton of women attractive, but the number of conversations and dates they get are very low. Whereas women have to weed through 100s of messages to find one good guy in the mix. And I think that's why I date the way I do. I will easily go on 3-4 first dates in one week. But if one of those guys seems like a decent prospect - kind, interesting, intelligent, chemistry - then I like to give that guy a chance. I have not once had the experience that I go on 3 first dates and meet 3 high prospects.
Also, side note: I 100% DO NOT get that we still have an expectation that men pay for the date. I have a career and make a good living. I can pay for my own drinks thank you... or, even better, you pay this time, I'll get the next one.