In my company's case, it's more like 0.1%, but perhaps some are higher.
I understand why we have the no-reply and auto-reply emails, and it makes a lot of sense in many ways, but there's also a very large blind spot where two systems don't realize they're talking to each other and not to humans; the system does exactly what it should be, it's just not what we want it to be doing.
We send from "auto@", but have a reply-to of "support@" or something more specific depending on the exact case. This does seem to help a little bit with slightly reducing non-human emails.
What actually is more of a problem is spam and unsolicited non-customer email. But still, it takes half a second to close them.
Which is ultimately why many systems encourage you to go through already established and protected schemes for doing things.