The following is a "second best solution" to disable the Firefox update notification by disabling updates completely. But for those of us that are bothered by the incessant dialog box reminders and don't want to update whenever a new Firefox releases arrive, this works.
To disable the updates, and therefore the update notifications, you would create a policies.json file with the following content:
{Then, put this policies.json file in your Firefox directory inside the distribution folder. You would likely have to create the distribution folder. For example: C:\Program Files\Mozilla Firefox\distribution. If you are using Firefox Portable, you would create the folder and put the json file in *\FirefoxPortable\App\Firefox\distribution.
"policies": {
"DisableAppUpdate": true
}
}
To confirm this is working, go to Help -> About Firefox and see if Firefox is showing a note about "Updates disabled by your system administrator."
To update Firefox, you would temporary remove/rename the json file.
Reference: https://www.journeybytes.com/2019/01/disable-firefox-quantum-updates.html