So you're saying that Kidd and Queen will now have a full on fight at a different location and then still have enough time to recover after beating the 2nd strongest Beast Pirate?
Quite possible. Remember the most people assume a lose in the first run. So its possible Luffy is losing to Kaido in the first try, so luffy and kid both need time to recover.
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Kidd should be above Zoro and Sani but not way above as you said. I know you like him but he was constantly taking L's but I'm not saying Zoro and Sanji will fight Calamities instead of him to take away from his character no. He needs to focus on Kaido alongside Luffy.
I guess Kid will fight Queen now to get his Katakuri-Level fight. He will win and will be wounded, maybe taken out then by King or even Kaido too. Luffy will be taken out by Kaido in the first run (like it was always) and both recover after and go for a second run together and then take him.