Mike
Like others I did not read your original post carefully enough, sorry, As you have a lathe with a gear box my comments are less relevant.
However, I do know of some who, typically, set their gear box to 8TPI on a lathe with an 8TPI leadscrew, and then use the normal set of changewheels, if they have them, when my listing can be used. Of course, it does require a quadrant to place them on and at least some changewheels, not necessarily all. The wheels can be purchased as required.
Regarding the accuracy of the leadscrew, What I was attempting to say was that, using the normal changewheels, values that are extremely close to the required pitch can be achieved.
Therefore, even using a 127 tooth wheel cannot be guaranteed to achieve better due to manufacturing errors (permitted) in the pitch of the leadscrew. Even a precision toolroom lathe will have permitted errors in the pitch of its leadscrew, albeit, very small.
Harold