Honestly, quite a lot of users would care for it.
To ignore the possibility of forming a semi-trustable platform for such(as most users seem incapable of operating their own services) and to ignore the general novelty factor, then there's still considerable interest - as evidenced by replies to this thread. Three pages of. Only a small number are in disagreement.
I'm only in disagreement for the resource draw I feel could be "better" spent at this time, but overall I think it's a great idea. I've no need for another free mailbox, I have servers I can generate as many as I would like. I just think other users would care for such. Another reason I push towards XMPP as a comms protocol is the user ID's follow the same format as email, which most users are already comfortable with - and with a little cunning DNS delegation the same address could work mulitple subservices, making tying it all together easier.
As for "officials" having "their own mailserver" - almost.
;; ANSWER SECTION:
asgadia.space. 3600 IN MX 5 mail.h-email.net.
They've used someone else's - and they appear to run clones of that on EC2, so that can be considered compromised already... NTT trading in the US isn't an overly good sign - as anyone who recalls lavabit(heard that's starting back up) should know - Isn't it great when people know what they're doing...