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That will happen the same time email "does something about that". It's an open standard. If you join a server that doesn't federate with servers you don't like, or you just don't follow accounts that post things you don't like, you won't see things you don't like.

My question for you is... what the heck server are you on, and what accounts are you following??? I've never seen a single thing you've mentioned on Mastadon.

Maybe just don't follow people who post that stuff/turn off boosts/block furry instances/etc?

This isn't like Twitter, where it fills your feed with shit it thinks is relevant. On Mastodon, you have pretty much total control over what shows up in your feed.

My instance and my timelines have zero loli and zero furry porn.

Clearly your experience of Mastodon differs significantly from mine.

looks at this post

looks at her chill, friendly instance full of furries

Working as intended, enjoy your Twitter. Nothing to see here over on Mastodon.