I think the definition of the Star Wars saga depends on which trilogies you include.
If you only include the OT, it’s the story of Luke Skywalker. We watch as he goes though the hero’s journey, in the style of classic mythology.
If you add the prequels, it becomes the story of Anakin Skywalker. We watch as he rises, falls, and rises again, in the style of a classic tragedy.
If you add the sequels, it becomes the story of the Skywalker family. We watch as they go through their lives, ending with someone who isn’t part of the family taking their name.
One of these things is not like the others…
Yeah, the definition gets a lot looser once George stops being the showrunner. The first six movies were under one single vision, but now it’s basically a free for all.
I don’t think so, if we’re all being honest it became the story of the Skywalker family when the PT was added. Just because George retroactively said it was the story of Anakin doesn’t make it true, obviously the OT isn’t Anakin’s story and TPM barely is either.