I'm not condoning what Burrows said in the slightest but I'm sure plenty of players have used similar chirps towards other players that were beaten by their parents. It just didn't later come out that the actual abuse the targeted player suffered was much, much worse than your old typical child-beating and the player didn't tell everyone.
I know it might be hard for some people to think about this now but it was only a few decades ago that hitting a child was considered discipline, which is obviously wrong, but that was the times. I was lucky to be born right around the time this mentality shifted but some players around Burrows age definitely got whooped themselves.
This would definitely be before Burrows and my time but I remember my dad telling me how when he was younger the teachers had full reign to beat the hell out of any kid that stepped out of line. If you as a kid talked smack to an older neighbour they would give you a smack and no one would blink an eye. Nowadays you can get in a load of **** for spanking your own kid but 25-30 years ago things were a bit different.
What happened to O'Sullivan was obviously terrible but he is absolutely not the first or last NHLer to get beat by his parents and I doubt he was the first one to be targeted by trash talk that touched on it.