Bubblegum20:
No, the're a lot of people who don't like this. There are also a lot of people who don't like it, when the ML falls in love first.^^
Haha I wonder why people have specific preferences about these things. For me, it's really cringy to see a FL pursuing someone because drama writers always make it so that she is not cool and charming about it. Instead she's a clumsy, sappy mess. If they make a cool and charming FL who doesn't make a fool of herself and embarrass herself in pursuing the ML, I'd be totally fine to watch that kind of drama. But because that's never the case, I always avoid those dramas like the plague.
Actually, right now there's a drama with Seo Ye Ji and Kim Soo Hyun called It's Ok, It's Love that has a cool FL who pursues and flusters the ML. Not sure if it totally fits your request (obviously because FL pursues ML first), but I will say the ML is a very kind, good person. He is, however, aloof to the FL at first, but definitely not because he's a bad guy. He's just spent his life devoted to helping his intellectually disabled brother, and has put up some walls due to feeling unloved by his mother.