I've tracked down the bug to mouse--down-1-maybe-follows-link too, but
don't think read-event is the culprit here.

Rather, mouse--down-1-maybe-follows-link discards the result of
mouse-on-link-p, which contains the event a click is supposed to be
translated into. Instead, it just replaces the mouse event with mouse-2 if
mouse-on-link-p returns non-nil.