>90% of mails are delivered really in a couple of seconds, but yeah, turnaround could be quicker. That's why in the longer run we hope to skip the store-and-forward mechanism and instead deliver mails directly by IMAP server to IMAP server.
The specs will soon be available on GitHub soon. If the server supports JMAP, there are no principle obstacles to also support COI over JMAP. But as said, currently the market share of JMAP is neglible.
You can also run your own mail servers, even non-technical people could do that with for example https://thehelm.com/. Haven't tried it out myself, though.
Very true, but have you tried just reaching out to someone via email on Matrix in practice? I tried with Riot and am not able to do that. Maybe just a bug, but if you want the real Matrix experience, you need a Matrix account. Don't get me wrong, I do love Matrix, but I also love XMPP - both not spectacular successes so far. AFAIK, the French Matrix version is even locked down and does not federate across the network.