I came across your post in these forums, and immediately thought to myself, "Yes, yes there is..."
Although I don't use SuperDuper all too frequently, nor do I use Cocktail, I do use Amphetamine, iMazing, Apple's own Mail app, iStat Menus... A number of oddball seemingly 'random' issues that have all cropped up since macOS 12.6.1, not to mention the Kernel Panics that seem to be related to my Intel Mac mini going to Sleep? Not entirely sure. I've already done a reinstall, too. Not seeing a change for the better.
¯\_(ツ)_/¯