I also want to see tweets I would find notable/interesting, from people I don't follow, if I knew they existed. An algorithm would help with that suggestion.
What I really want is Spotify's "Discover Weekly", and "This song's radio", but in Twitter.
When Spotify's Discovery Weekly gives me a playlist, it's giving me songs I've never heard before, that it thinks I'll like. The decision if I like them is completely my own. Spotify's recommendations aren't thinking for me. If I had more time to listen to a thousand random songs a day, I might stumble across their recommendations. But, their recommendations aren't thinking for me, they're just categorizing and skipping most of the garbage* related to my dislikes.
* Spotify has 80 million songs. If I listened to the first 10 seconds of every song, for 8 hours a day, it would take me over 70 years.
This could control top posts, but theoretically also their replies.
It's the stupid replies that make Twitter annoying, not so much the top posts for me.
It's much harder for people complaining about toxicity if they can filter it out. Then it'll be harder for them to argue someone should be deplatformed. Because then they would be arguing that you and I should be barred from reading that person.
Having people's tweets obliterated by a new Algorithm(tm) because it decided they are bad definitely doesn't feel like a good fix for the issue.