okay i'm curious
which gear is "plastic worm gear"?
i've only taken apart about 4 speedometers to date ranging from 1950-53 years, both 0-80 and 0-90 type and that recent special 0-140 KPH metric speedo.
All the gears and worms are metal up to the first odometer counter.

Input shaft worm (steel) -> first gear to worm shaft (steel) -> second gear to worm shaft (steel) -> idler gear (metal, maybe brass) -> 1/10 ths wheel on odometer (odo is plastic).

maybe a photo would help
thanks