The new A7II arrived yesterday evening and I did a comparison with a bright light against a dark background in my office between the A7 and A7II. To my surprise both cameras did not show any flare, which puzzled me to no end.
This morning I realized that the setting for my test was quite different from the settings of the shots that produced the ugly flare. Last night the focus distance was about 6 feet, while the shots taken with the bad flare were all at or near infinity. So I went outside the house - it was still dark - and used a street light as a test object. This time there was a clear winner: no flare whatsoever in images taken with the A7II, while the A7 images show the same bad flare you see in the images in the first post here.
I have a Sony A7 for sale, if anyone is interested.