If you want to use Firefox sync IIUC you can define a new pref services.sync.prefs.sync.dom.private-attribution.submission.enabled. However this has always been flakey in the past for me. (I think maybe the sync prefs themselves don't sync?)
Now I install an organizational policy that sets the prefs. I use NixOS to apply this and it looks like this:
environment.systemPackages = [(pkgs.firefox.override {
extraPrefs = ''
lockPref("dom.private-attribution.submission.enabled", false);
''
})];
I think this is just creating a `prefs.js` file under the hood, so you should be able to replicate on other systems that you manage.
Edit: This is creating a lib/firefox/mozilla.cfg. IDK how exactly this applies to other distros.