This is different to the various techniques, such as IMAP/POP and forwarding, used to get [email protected] email (actually hosted elsewhere) into a [email protected] mailbox
I've had it this way for a long time, but I believe it was optional and it's also possible to only read the mail from the domain but send it via gmail.
Admittedly this doesn't work from my mobile GMail app, but I don't send a lot of work-related email (which my alternate address is for) from my smartphone.
If you want to send from a different address without the sender header being set to your gmail account, I think you have to have Gsuite.
Then when you compose a message from either the website or the Android app, your From address is a dropdown containing the addresses you set up.