I think the current “I moved a post” notifications, which are essentially slightly customized replies, take up too much space. I made two mockups to start brainstorming an alternative styling. (NOTE: Only the second moderation notice in each image has been altered).
In essence I’m suggesting you remove the gutter, as I only see it being relevant in edge cases, e.g. when you want to flag a move that you didn’t agree with. But then again, you can always just flag the new thread for that. As for being able to reply to move actions, that doesn’t even seem right at all.