Well, let's see.
Real romance involves empathy and the understanding that the object of your affections is a living, breathing, flesh-and-blood individual with hopes and dreams and fears. Real romances are nurtured over time and typically grow out of a strong friendship. In my experience, it's something that sneaks up on you. You find the right girl to goof off with, proceed to goof off with said girl for several months - and then your hind brain goes "Hey dude, I think you're in love."
On the other hand, rom-coms and romance novels aren't too concerned with the trappings of realism. They have good vibes to sell and anywhere between ninety minutes to a few hundred pages to do so. Seeing as a lot of us suspend our disbelief while watching movies, the requisite audience for "Pretty Boy does Illegal Shit to Win Back his Love's Trust" tends not to mind that much. It's absolutely creepy in real life, but if it's onscreen and the perpetrator has the face of Matthew McConaughey or Zac Efron, then the gushing may commence.
Here's another example. There's this forgotten Hugh Jackman vehicle called "Kate and Leopold" that sees a Victorian aristocrat get whisked off to modern-day New York. Of course, modern male New Yorkers are boorish and uninteresting, and Kate is a career-driven woman who's missing... something. Leopold obviously starts out as this vaguely charming mental case, but his being Gentlemanly As Fuck (TM) strikes Kate as being whimsical and true-to-life and inspiring and whatnot. Of course, Leopold also learns an object lesson in this, since he comes from a society which was stifling its women and has to thank Kate for being exposed to the joys of Theoretical Gender Equality. Of course, the movie doesn't address the ways in which women still have a lot to fight for - it doesn't matter. She gets her Masculine Dreamboat, he gets his Feminine Dreamboat and Kindred Spirit.
If someone pulled off half the shit Jackman does in the movie in real life, they'd be arrested. No amount of dapper whimsy would save the day.