It will indeed not. It has no shutter, and neither has the 500 C/M.
If it would work, the question is whether you would want such a lens.
Zoom lenses, and this one too, are large and heavy.
A 60 mm lens is small and light. So is a 80 mm lens. Or a 100 mm lens. Even the 120 mm lens is a compact lightweight thingy. Combined they do weigh a bit, yes.
But the thing is that you do not have to carry all that weight on the front end of your camera all of the time.
With a zoom lens however, there is no other option. Always front heavy, bulky, pain in the neck (literally).
So yes, the total weight will be (a bit) less. But it will be a nuisance all of the time.