Good point. If you’re the only user with utm_origin=boogers&utm_medium=poop, it’ll be trivial to connect you between websites. It’s all automated, so there’s slim to no chance of making a server admin chuckle while checking the logs, unfortunately.
If you are using Firefox Nightly, you can install arbitrary add-ons (though quite a number of them don't work due to UI difference, container doesn't work too) now after going though some steps: https://blog.mozilla.org/addons/2020/09/29/expanded-extensio...