If I understand correctly, Twitter solves this pretty well. If you encounter a muted post, you can see it with a click, without doing any unmuting. Generally, I mute a lot and find social media barely usable without it. There are a few instances where I still look at muted posts, but it’s not that often. I am sure I miss things here and there, but I’m ok with that.

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Yrah, but there's no social aspect to Twitter muting. What you described (as I understood it) is Alice's client influencing which posts Bob sees. In that case, once one person we like violates the protocol, it incentivizes other people in the social group to violate the protocol, quickly rendering it moot.