Agreed - the hate is bordering on the redneck in Section 305 back in the day that always loudly blamed “Pikinin” for everything, even when Joni Pitkanen wasn’t on the ice.
It's emotionally easy to find one person and blame all the fault on them. If it weren't Hamilton I'd think Rod would be in the firing line, "his style doesn't work in the playoffs" or whatever such nonsense.
Hockey is a game of breaks, you can't score on command, you can only generate chances/zone time (generate "x") that may or may not turn into goals. Over 82 games this
generally skews toward favoring those teams that are better at generating X, but not always. But in short series it can get a bit wonky. The Hurricanes outplayed the Lightning in game 1 and lost: vice versa for Tampa in Game 3.
Anyway, Hamilton is the goat now, so when he is at all involved in a goal against the psychological distress is immediately transferred to him, whether or not it makes perfect sense, some sense, or no sense whatsoever. And it's led to some hilariously bad hockey takes interspersed with perfectly reasonable ones.