Just as I have suspected, the Sony A7 and A7R cameras are not immune to the Red Dot Flare issue, thanks to the short flange distance. The effect of the red dot flare can be significantly reduced if the rear lens element has non-reflective coating applied to it. In the case of the two below, the Zeiss 35mm f/2.8 ZA handles flare a little better due to its optical design, but the red dots are still all over the place. Both shot at f/16, pointing directly at the sun.
Just remember to keep this in mind when shooting against the sun with the Sony A7/A7R. At larger apertures like f/5.6-f/11, the red dots are much larger in size and less noticeable to see in images.