As far as I remember, correct me, he said he wants to fight all 4 yonko, but never specifically said shanks. It seems for me he meants the institution of the yonko, not the specific persons. He also doesnโt seem to give a damn about Linlin anymore.
I get your arguments and donโt deny them. I just think of Kid as a kind of rival to Luffy which has some unknown connection to Shanks. And since I assume kid being the other side of the medal of Luffy, I could imagine Kid has a troublesome connection, something like a angry brother.
Just some random thought, what if Kid blames his older brother Shanks for the death of their parents (f.e. For being Roger pirate), so Shanks could never build up some connection to his brother, which hates him. And to compensate, Shanks build this connection to Luffy. Maybe Luffy is what kid should have been for shanks, but Shanks couldnโt reach him anymore emotionally.