I'm trying to decide between the Sony E 16-70mm and FE 24-70mm lenses for my new A7R. The former is 24-105mm full-frame equivalent (using a 1.5x crop factor), while the latter is 24-70mm full-frame. So effectively, I'm coming out ahead by getting the 16-70mm because I get a wider range (24-105 instead of 24-70).
Also the 16-70mm is a $100 cheaper. Both lenses seem to be identical in every other way (constant f/4 aperture and Carl Zeiss optics).
Is there any reason I should get the FE 24-70 instead of the E 16-70?