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There's lots of ways this could be done quickly, easily, and privately. A previous attempt at this (flattr) was promising but before its time. Making Bitcoin micropayments via lightning comes to mind as a way to do this. In the past two months alone, Nostr users (decentralized twitter clone similar to mastodon) have tipped each other around a million dollars for their posts. There have been nearly three million tips in the last two months. Sending funds via lightning takes under a second for pennies or less in fees. No intermediary to report your browsing history to, no need to trust an intermediary to handle payments, no burdensome need for Mozilla to run payment infrastructure, and it all works in every country right out of the box. And there's plenty of room for this to scale since it's not limited by blockchain space.

Nostr already has a feature to automatically split up your tips according to which posts you reacted to. You can say "I want to tip $5 a month, split it up among posts I react with a heart to". This could easily be extended to which websites you visited, all websites would need to do is put their lightning url in the page source, DNS record, etc.

Nostr stats: https://stats.nostr.band/