To specifically address that point, you could use a 5 axis machining center and a standardized control sequence ('G-codes') to do the exact same thing.
I think the bigger difference is the amount of funds that needs to be put on the table for the machine itself.
Once you have the rig set up for a part the major operations are mounting the blank, hitting 'start' and removing the finished part (assuming it can be made in one pass).