Auto-replies such as out of office replies are being sent to the From address instead of the reply-to address. This usually happens because the reply-to email address is used when the contact clicks on the Reply button, which is not the case in auto-replies.
Here is a suggestion to properly handle Automatic Responses:
1. Create a subject line filter on your email client that catches popular out of office subject lines: ex: Out of office, autoreply, auto-reply, on vacation, automatic reply, automatic response, etc…
2. Create a rule to add these into a designated folder called in your inbox, ex: Email Footprint.
This solution will not catch all auto-replies but will substantially reduce them on your end. You can also update the filter lists as you see other terms used in subject lines.