Let's say I have a primary gmail account called firstname.lastname@example.org. I also have an university's email, called say email@example.com. And this university email has an alias, served by the university's server, called firstname.lastname@example.org.
My question is: how can I fully incorporate the university email alias to my primary email environment? In other words, I want to send, receive, and have people see ONLY the email alias, not the original one.
Right now I've added the account to my gmail page, so I can receive emails as the alias, "Send email as" the alias, but receivers still see the email@example.com, not firstname.lastname@example.org. I've tried many things already, read all support pages, but I've found nothing covering this situation.
Edit: This link from Google Support says it's impossible. But is it really? "Messages you send will appear to be from the domain alias or email alias. The return-path of the message will indicate your primary mail addresses, but only recipients who look at the original message header will notice."