You'll pay more for an early model with nickel trimmings and a period-correct "11 o'clock Elmar", PLUS, that early Elmar will not work on an early black-paint III, as the focusing lever hits the slow-speeds knob before it reaches the Infinity Lock. :/
Another consideration - pre-War Elmar lenses are not coated, and will offer lower contrast images, and tend to flare when shooting towards bright objects.
If this is the "look" you are going for, then all is well and good.
All that said, one of my favorite personal Leicas is a "good" 1932 Leica II, s/n 77xxx, with a nickle "11 o'clock" Elmar, s/n 99xxx, with matching snub-nose ever-ready case.
The camera is quite nice, with minimal brassing.
The camera needs a CLA ( lubes are gummy, and the shutter drags in cold weather ), and the lens has some internal haze.
If you're not in a huge hurry to have one, or don't mind buying the body and lens a la carte, cruise the classifieds and maybe place a Wanted to Buy notice, and you'll find what you're looking for.
😎