I am in fact a vampire. That explains everything
The issue of the page not turning is one thing, but the jumping around to different sections is really the main issue, and that cannot be a result of my vampirism since it is responding to my touch, but just not going to the right page (or article or section).
I take it you don't have a sub to NYT? Does anybody else? I would ask people to test it out for me to see if we can collectively diagnose the problem, but since it's intermittant I would effectively be asking people to read the NYT pretty thoroughly for several days in a row. It happens to me usually at least once per day, but not in any consistant or reliable way (at least as I've determined it).