False neutral, hmmm not good. as I said never found one on my B6.
Maybe something not right with the selector unit and or arms, forks what ever ya want to call them, I've encountered with other bikes, that gearbox bearings with to much play, conbined with worn shifter forks, and worn gears, can cause such problems.
Let us know what the problem is, i'm interested to hear what the problem is.