Do I need to block his email iMessaging me too?

Removed all potential triggers and blocked on all social platforms. I deleted his phone number that I don’t have memorized so I don’t reach out, but he is still able to iMessage me via his email. His email is pretty easy (just his name) so I don’t really see the point in blocking it? I’ve had pretty good self restraint not to respond so far. Is it dumb to not block his email? I do find it comforting to have some sort of line of contact still open in case of an emergency.