I won't say that there isn't a difference in tone between some adjusters and the full circle however I think this conversation has the possibility of internet overthink and I want to caution that if there are differences between them they are subtle, not profound. If you play regularly with the pickup they are irrelevant.
I have personally noticed more of a change in tone when using wing pickups like the Bassmax, the Rev Solo, and the Underwood than I have with the Full Circle.
I remember finding somewhere on the internet, an in depth
study on the tonal differences in adjusters. The difference
between Aluminium and brass, wood, etc. They had tons of
audio clips too.
There were (I think) very audible differences in sound between
wood and brass and aluminium, but not much difference
between different aluminium adjusters.
I had a set of brass adjusters on a bass. Just choked all the
sound out of the bass. We put aluminium adjusters on and the
bass was much more open and loud.