Does blocking Google Tag Manager help?
The site you're talking to can still read your data, but most third party sites can be cut off. Privacy Badger will let you block Google Tag Manager, and while it warns you that some sites will break, few do.
The site you're talking to can still read your data, but most third party sites can be cut off. Privacy Badger will let you block Google Tag Manager, and while it warns you that some sites will break, few do.
It would be interesting to purposely feed a bogus GTM cookie though. It might actually throw their tracking and fingerprinting off if somehow you were able to send random GTM tags on every request.