If this were to become a thing they would.
It's already a feature in many privacy featured addons. Also most requests of that sort are likely embeds. So all it takes is the website owner to set that thus solving it for everyone.
Yeah, but the majority of people don't understand any of that. It would have to a default feature in the browser and the main browsers kowtow to whatever the larger tech companies say so unlikely for chrome, ie, firefox. I could see possibly the brave browser doing something like that as a default feature.
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