It would be nice if someone had a GIV systems manual, but even then, there is a lot going on here, and we may easily miss something...
Regarding conditions you site for "TR" deployment, I believe you are thinking of conditions for ground spoilers, not TR's. TR's only have to be on the ground, at idle.
Reversers will NOT stow around 60 knots, you can ride them to your parking place, and shut down both engines with them out...
Regarding nose wheel WOW circuitry, I do not believe that this WOW information is used for TR logic, since I've seen plenty of pilots deploy the TRs with the nose wheel off the ground.