using auto unstuck definently does not make you get d/c but im not sure if it hearthed me, or moved me from my original place before the teleportation
edit: yes when u auto unstuck in moves u an inch or two from you original spot
i think you character stays in the same spot but u see urself moving, cuz earlier i asked someone to duel me and i could see the original place i teleproted from and he stood there and attacked me and i got disconnected so i dont think you can indeed do anything with this

i think this might be the time to pull the cord on this project, ill try few more things but frankly, it seems impossible. another thing you can try is to mimic what u can do with the z axis, u change it than if u only move on the z axis u dont get d/c so maybe u can change the y then move only on the y then change the x and only move on the x then change the z and jump?