I guess the chat client could do all the e-mail sending from some of their maintainer e-mail servers and not from under the chat participant e-mail. Then we would start losing comaptibility with other e-mail clients though. Although not completely, as we could set Reply-To headers and when another e-mail client replies to [email protected], we could just forward it to the correct e-mail.
An interesting concept indeed.
I guess if you use mailing lists for topics you can subscribe to, and cc'ing people for @mentions inviting them to reply, then yeah! Email can do it all. So why is email considered such a time sink? Because people don't filter conversations coming from the outside. But if they just set up a filter, then literally email is a Slack killer, no?