Why is one 340 connecting rod bronze color?

Wrong. Copper is way soft and would not hold up to the beating of a rod journal or piston pin can dish out. Copper is the material but it was done merely for corrosion resistance. I have seen engines with all of the rods copper coloured. The bean counters surely put a stop to it. J.Rob

It will hold up just fine in either end of the rod, but seems to be done mostly to tighten the small end. Since the pin is a press fit in there, the copper is effectively a shim and will work just fine in such an application.

Copper corrodes just as bad if not worse than cast iron, so it wouldn't have done diddly for 'corrosion resistance'.