It could come down to resources and personnel. Before moving to fedora I used KDE with gento/openrc (systemd was an option, I just wasn't familiar with it). I could only do that because someone or a team of people maintained it. Not every distro will necessarily be able to keep up.
I wouldn't describe The Core as a trainwreck. The premise is the dumbest shit imaginable but somehow they managed to make an enjoyable film. The cast is great. It makes for a solid background movie to help you get though house chores or other menial work.
For Firefox at least, if you pin the extension to the browser toolbar (or whatever the space next to the address bar is called) you will see a little yellow triangle badge whenever there is an update. Click the extension icon to update.
For Firefox mobile and forks, you may get a notification that there is an update but I haven't found a one click solution so I just go to the repo, download the xpi and install. To install from file on mobile you need to go to Settings > About Firefox > Tap the logo several times until you see Debug enabled > Go back to main Settings > Under Advanced look for Install extension from file.
It does? How do you use it?