Well, he's getting a title shot but only cause AEW wants him on the PPV real badly. According to Meltzer, he was not originally planned to be there.
To answer your question: Everyone wants title shots, including guys who lost them. But New Japan generally (not always) likes keeping rematches of big matches like those take a while. Maybe they'll have a non-title 1 on 1 match in the G1, but other than that, it's gonna take months before Okada gets a shot at Jay White while he goes through other people and tries keeping his belt. And That's A Good Thing.