The thing is that many breeds of domestic dog are so far removed from wolves or wild dogs that looking at ‘natural behaviour’ is irrelevant. They are products of artificial selection, so strategies successful in the wild go out of the window.
Ted has deerhound and saluki blood in his breeding. Two breeds that have been selected for very long chases, independent of human guidance. Those that had a singular purpose when on the chase, despite how far they were getting away from their handlers, were more successful, and more frequently bred from. The side effect of this is the well known saluki aloofness. They also show wilful disobedience until the task at hand is complete, whether it’s chasing a rabbit, whizzing on a tree, or eating a meal. Ted has this in spades. He very often goes off to a quiet corner on another floor in the house to get some peace.
Ted couldn’t give a toss about pack leader status, it’s been bred out of him. He wants chasing, long pursuits of a quarry (only an Aerobie satisifes Ted’s need to chase over a long distance) and a comfy bed. He needs firm handling, because he has no concept of pack leader, and you have to constantly assert your wishes. If he doesn’t want to conform, you might as well piss in the wind.
It’s all because of the qualities inherited from his ancestors, artificially selected by humans shaping the breed to their own ends.
In summary, not all breeds are the same(!)
EDIT: And to answer the OP’s question, you’d have to try hard to muck up looking after a greyhound.