It seems you are missing the very first blatantly actual bug:
"Work offline" sends packets on closing of the browser. It is not offline at
all. So Mozilla can talk nonsense to infinity - this is not a documentation
bug.
> Once I know what I'm doing, what's the the most helpful thing to start
with?
I feel the most important thing is to:
1) show Mozilla that it is not just a single user who sees their mischief. If
just 2 buddies talk on a different site - this won't happen. So there must be
a real community voice.
2) Share this especially with programmers who work on forks and in the field
of browsers in general. Those are the people who can do something further.