Erasing the drive doesn't let you do this, the Apple ID of the owner is stored elsewhere and you have to log in to restore the machine.
"Why does the recovery not just have a button called factory reset which unlinks your apple account, deletes the volume and then sets it all up like new."
So yes, it currently does not work like that. But such a feature would allow Macbooks to be easily stolen and reused by others.
But we couldn’t figure out what they were talking about, we had reinstalled the OS. It’s embeded in there somewhere deep.