Hey, nice to see you.
I don't think anyone enjoys being the target of a beggar, regardless of the gender of the beggar or "begee" or what is being begged for. Some of the fellas you describe might have been truly interested in some cross-cultural hormone indulgence but it sounds like most of them were hunting for the almighty GreenCard (or equivalent.) That experience MIGHT be more appealing to men since women usually have more subtlety, the sense to let a man think they actually like him, not just his passport/wallet. It does sound like you got a taste of what men experience walking into a strip club or similar establishment. These women show great interest and we men eat it up. We like the attention (even though we know it is bullshit) because mostly we get fear, mistrust and rejection from women we encounter. Having an attractive, scantilly-clad woman purr that she'd love to satisfy my needs for...something from the bar is worth a few bucks in my mind (even though it feels a bit wretched after awhile.) I'm sure there are women who similarly enjoy the attention they get from men when they travel.
In my travels (mostly peace-time military) I found most of the dating/flirtation rules that applied back home held in the rest of the world as well. People are people. It is pretty obvious that a long-term relationship is not likely with a traveller from another country and culture so social interactions are going to be...complicated. Having no interest in whores and a healthy familiarity with rejection, I had fun chatting up the local lovelies and occasionally met some who were "adventurous." Mostly, I got shot down, just like at home. But it was still fun.