Too bad, you forgot rules #1 and #2.
1) The WTS is never wrong.
2) If the WTS is wrong see #1.
It should go more like this 1) The GB is always right
2) The WTS is never wrong.
3) If the WTS is wrong see #1.
4) If the GB is not right see #2
Helps plausable deniabilty, mutual reinforcement, and less chance that the R&F will get the trick.