FWIW, ALL 2 wheels vehicles with front and rear suspension are subject to instability given the right circumstances.
GP bike teams have virtually unlimited resources to develop bikes that don't get unstable.
Yet...GP bikes do wobble and will pitch the rider off the bike.
Everything done to quell wobble is a bandaid because there is no solution when there are 2 gyroscopes independently moving up and down with a hinge (steering head) used to force them to change direction.
Just the physics of it.
What I tell folks is if their <09 bike was stable and over time, became unstable, there is something worn out and can be fixed.
However if the bike wobbled (unstable) from the day it was ridden off the showroom floor it's prolly the frame.
Gyros are operating out of sync with themselves and moving in different directions up and down causing instability.
Bob