I upgraded to 3.8 on my Pixhawk in my Mini Talon and the PIDs from 3.7 were totally out of range in 3.8. There was way too much movement.
Being a v-tail I had to start from scratch again with the V control surfaces as the new parameters had reversed everything at the back.
I ran autotune again and all is good now. It seems to track pretty well as you can see on this 12 mile auto flight.