It would have worked if Anakin was in his twenties in episode I and by the end of the trilogy he was in his forties. But that would have made Padme older by extension.
Maybe Anakin and Padme were each others’ second marriage and Luke and Leia were the kids remarried couples seem to have so often in their late 40s.
You could then retroactively add some fanservice and make another OT character a Skywalker.
Boba Fett is Luke’s brother?