Will some things filter through this list? Undoubtedly, but I would be surprised if it's a significant percentage. Extremely high-volume lists probably need some more specific care, to be sure.
The auto-reply is probably sent by a desktop email client, which are often offline and/or configured to only check for new email every few minutes. So you'd fail to mark a lot of auto-replies.
Will some things filter through this list? Undoubtedly, but I would be surprised if it's a significant percentage. Extremely high-volume lists probably need some more specific care, to be sure.