Then, after you have a contentious public debate with someone you barely know, your actual friends and acquaintances on FB are repeatedly encouraged to go read the exchange. And since you were talking to that person so much, FB's algorithm reasons it means you must like them a lot, so your news feed starts telling you about everything the person you were arguing with is doing.
To an extent, I think that's a good thing. It keeps challenging points of view in my feed. If I ever found someone truly abusive, I'd block them. But that's never happened to me. As I said elsewhere, my discussions can get pretty heated, but I try always to be respectful.
At the end of the day, I'm more concerned with how my point of view appears to lurkers than to someone I'm debating. I'm unlikely to change that person's mind in any given convo.