The new terms grant Mozilla, the corporation a license to do things with my data.
Now, it does seem strange that Mozilla have suddenly added this when they haven't had it previously. Personally, I deem it highly unlikely that they are planning on monetizing our content in some way; whilst they have made some strange decisions sometimes I don't think they are completely stupid. Mozilla is in a precarious position right now, they are only managing to scape by on user trust and if that disappears they are finished. I'd like to think they are not foolish enough to do something that would catastrophically erode that trust, and selling user data to advertisers would kill them.
Having thought about it a bit more now, I have to wonder if they have dreamt up some other mad scheme, like Mozilla Cloud Storage, or something that would require such wording in the terms. Hopefully, it's just a wording update to protect themselves. I guess we will find out in due course.
[edit: fixed a typo.]
If that's the way the law is interpreted, it's silly.
The "publisher" in this case would be the website the file is uploaded to. If the website doesn't make the file public, then they're not a "publisher".
The browser is merely acting as a tool to do the uploading. Firefox shouldn't be held liable for the contents of the file any more than any other web client. If it did, tools like cURL should be liable in the same way.
Somewhere along the way web browser authors forgot that they're merely building a web user _agent_. It's a tool that acts _on behalf of_ the user, in order to help them access the web in a friendly way. It should in no way be aware of the content the user sends and receives, have a say in matters regarding this content, and let alone share that information with 3rd parties. It's an outrageous invasion of privacy to do otherwise.
It's hard to tell from your comment who exactly is the target of your complaint. You're not wrong that this interpretation might be silly, but that's not out of the ordinary in carefully using terms of art to insulate from legal liability.
And the issue of peculiar terms of art is leagues different from the issue that everyone else seems to be raising that it represents an intent to abuse private data. Those are two completely different conversations, but you're talking about them here like they're the same thing.
If that's all is required to be a publisher then ftp, scp, rsync and hundreds of similar tools are also publishers of the files they transfer. However they don't have Terms of Service like the one Mozilla is giving to Firefox.