Look man, i appreciate you actually wanna help, but what you are trying to show here, that hectic movement is, again, far from a competent "micro" stutter test.
Even so, watching your vids closer, they are full of tiny framedrops, small as they are, they are noticeable, but those may very well be small performance drops or youtube drops, not even related to what i'm saying.
One thing does help me though, and that is - that you have the same refresh rate in 60 hz as me; 59.2, lower than it should. So that's sort of confirmation that it can not be fixed via updates.
I did have a breakthrough: running the respective 60 fps game WiTHOUT adding it to the Armory Crate, hence no Game Genie menu, doesn't mess up the Sync. The actual 60 fps game will be kept in Sync with the display native refresh and run at 59.3, keeping the smoothness, and with no noticeable audio delays or issues.
I'm talking here 2D games with a lot of parallax scrolling, where even the tiniest stutters will be noticeable if one is sensitive to this.
There's also another possibility i'm testing now, keeping the Armory Core involved, for max. performance needed in more demanding emulation.