Quick update 2
Tried a yaw autotune, although I suspected it moved to much to initiate it.
So first did a rough manual tune of the tail.
-Configured a free dial on the transmitter to Yaw P first and dialed in a decent tail control.
-Then fixed that value and set the dial to Stabilize yaw and dialed in a value that felt pretty good.
-Did some flying and hovering in alt hold, pure stabilize mode and loiter mode and it flies pretty good already with minimal weird tail behaviour.
Next step after recharging is trying autotune on the Tail to see if it can do a better job then me.
Then move to pitch and roll, and maybe in the end do all of them again just to see what it does.
So far so good