It's not clear from your original post. But I guess you are saying you purchased and fitted a new box and your problem is neutral section?
One difference between a TTi and Norton box is the clutch actuation. And if you don't clear the clutch fully then neutral selection isn't easy, but of course you also have clutch drag.
Brooking 850 and I have both had problems with clutch actuation at some point. The part used is a Triumph 3 ball actuator, One element is the clutch lever itself, which needs the full pivot distance to lift enough.
Just and idea to check the clutch lever, cable and actuator.
The only other problem I have had is one time when I pulled the gearset cassette and drum, the drum hung up on reassembly! Which I discovered on bench test, so no big deal to open it up again
Stripped it again and then just put a trace of fine grinding past on the end of the drum and lapped it in a few strokes. Cleaned it all up and reassembled, no problem.