Yamato has a lot of wishes, and there's no telling which way they'll lead him once the battle is over. Becoming Oden, allowing Momo to bring the dawn, going out to sea, opening Wano, being free. Do they all coincide with being on Luffy's crew? Maybe. Could any and all of that happen by joining Momo instead? Maybe. Which has always been my point: Yamato has a choice to make between Luffy and Momo, but each is equally likely to make him happy.
She wants more than to see the world, but I never said anything about her dream being more certain than Yamato's. I expect to find out more about both of them, and I'm pointing out what Carrot still needs just as much as I do Yamato.
This I find patently ridiculous. She has bonds with half the crew already, with the touchstone of Pedro's death a big part of it all, which is a lot more than Yamato can currently boast.
How many Straw Hats did before they joined? Usopp didn't, Robin didn't, Franky didn't, Jinbe didn't until the end of FI.
Which may change depending on whether she takes Perospero's jibe to run back home lying down or not.
Oda brought up Pedro's last words before AND after the battle with Peros. You discount it at your own peril.
Kaido isn't going to still be an issue after this battle. That leaves seeing the world and everything else, and you can read my response to Yasheen for that. I'll just end by saying I don't think Yamato has a weak case or that Carrot's is airtight. However, I believe Carrot has been given more time to grow with the crew precisely because she's going to join, and the rushed nature of Yamato, much of it with Momo rather than a crew member, indicates the opposite.
We'll see.