People often ask us what "Home muted users" means.
For the context, when you want to add a user in a list, you have to follow the account first.
So that means, you will receive their messages in your Home timeline.
#Fedilab introduced a feature that allows to mute them only for Home (this is an in-app feature).
If you have a list, you can bulk mute users for Home. Otherwise it's possible from their profile.