No, I don't (necessarily) want to ignore an individual. There are just some conversations that take up space on the screen. Be nice to ignore them completely.
Completely understand there would be significant technical difficulties. Thinking out loud, very limited real estate on a phone screen and it would be nice limit it to topics of user-specified priority. And I was probably mis-speaking Conversation/Thread being equal here.
I wish I could ignore, or they would get rid of, "Latest Profile Posts". Big waste of space for people who need more attention than a normal thread provides. Or, people end up thinking it's the PM system & post their private info for everyone to see. That's actually funny, but still I don't want to look at it.
Also, it depends how you hold your smartphone/tablet. If I hold it vertically, all the ads/lists on the left disappear. Horizontally, the forum threads get crammed to the right.
Then we'll begin to have sites as small as our devices, so when we all go to rings instead of watches, we'll want text limited to three words. I'm joking, but I'm not sure this is a good direction.