Connie could make a pretty good argument for why punching things didn't work: in Jasper's case, you wound up punching the wrong person, and then you wound up looking like a jerk. Still, that beat Jasper from their world by a mile.

"Don't do that, Amethyst, she's been through a lot. There wasn't any of you guys here, so she'd been trying to help all these would be gems learn their powers. The stress caused her to turn into a gem monster, and when that happened, Lapis and another jerk fused to try and, well, kill her permanently. Steven had to fuse with someone else to fight the fusion off."

Luckily, Pearl was recovering. Sort of.