I hear you and I’m planning to build this feature. The issue is that right now I’m deep in an infrastructure overhaul, moving the site from python 2 and django 1.11 to python 3 and django 3.1. I don’t have the bandwidth to also add a feature like muting users. But I’ll get to it soon after.
Just to confirm, muting a user (which you’ll be able to do from their profile) means that you don’t see their shares in the Public Comments section. They can still reply to you though, so you’ll want to switch to a Protected blurblog (Manage > Blurblog Profile > Privacy) if that’s what you’re going for.