Yeah, you could - but I still don't think it's authentic :)
Actually sending the emails myself also allows me to add small things on the fly - for example, I'll sign my name '-Sandi (fellow Canadian!)' if I've noticed that the person is from Canada.
Complex on the fly calculations would probably not be worth it, but simple stuff like content generation based on seeing where the person is from would be easy to automate.
Though you and others may still enjoy personally sending emails and that's fine.
Then you end up with the Twilio's "peoplebot sending you email pretending to be from a live person in response to in-progress correspondence" spam. It usually involves too many exclamation marks (even one is too many in business communication) to appear super extra casual.