How could that cause cyclic problems? I can see where the wandering N2 issues would be possible....which would also affect Ng and other parameters.
Are you suggesting a physical binding of the cyclic controls by the Anticipator or perhaps an electrical or electronic interference? If a physical interference....would it be able for the cyclic controls to be blocked in all directions at one time? That would seem highly unlikely.
I do not believe in "coincidences"....the odds of the aircraft experiencing a some what confusing but relatively benign engine problem then experiencing a serious flight control problem, although not impossible, seems very unlikely from real life experience and from a statistical view.