Yep, it is just a misinterpretation, and you've summed it up perfectly there. No luck or coincidence involved here, though - don't know where you got them from.
Now, the truth of the matter is:
Period one, he bats at three and one, mostly at one. He doesn't have much success; the short period of success he does have is opening.
Period two, he bats at three and one, mostly at three. He has plenty of success in both positions. Because one is more extensive than the other, many people (himeself included) come to the very misleading conclusion that he must be better at three - rather than simply better because he has worked on his game.
Superstition is a common thing amongst cricketers, and in many cases it genuinely causes problems.