Joking aside -- I am struck by another comparison with HEY. That still, this is stuff you can just as easily do with Gmail. How do I know? A couple of years ago, my wife published a particular op-ed in the Washington Post and this is exactly what we ended up having to do just afterward. We configured a Gmail account to auto-reply with a "go away" message and delete everything. We had to. Stop and think about what kind of angry emails you might get in response to political speech. And then double the abuse to account for how jerks treat women online. That mailbox was wholly radioactive -- we could feel the heat all the way from the next room, even with the laptop closed.
Huh, you know, the more I think about it, maybe we do need an email service like BYE.