I tried 16.1, still very noticeable difference with traffic off (though at least I was able to load a simple html page with a picture after a minute or two so with traffic ON). Car just installed 16.2, will try tomorrow if I remember to try.
Btw, this must be an important update for Tesla as this is only the second time EVER (in 2.5 years of owning 2 Model S'es) that a firmware update got deployed to both cars on the same night. The last one was when they did the major increase to the autopilot nags. I wonder what was so urgent. Of course, it could be a coincidence, but still, only the seconds time ever.