That is simply your assumption. If that would be the Case, he could have gone for Kaido directly before, or Big Mum, or Blackbeard, or later on Luffy. But they were Never his goal. His goal was always specificly Shanks. He was even on Totoland and stole the porneglyph as far as we know, but he had no Business with attacking big mum. Which he himself said. But with Shanks he had already at this Point.
so what was the differencw between a Yonko on which Island he already is and a Yonko not knowing where he is when he just want to take down one yonko, no matter which?
as opposed to your theory being 100% factual?
we're both assuming stuff
difference is, yours is a convoluted string of assumptions based on the underlying reasoning that kidd will come back and have a big role.
Mine is based on basic facts from the story.
Occam's razor and all that
Also, there's no difference between the big mom shanks situation btw. Both times, he didn't get to see the yonko themselves. He was repelled by their subordinates. difference was, shanks' commanders are stronger, so kidd lost an arm. And then it became personal.