I'm sorry if I was rude or something.
In my opinion if I remember correctly, Sanji was repressing his real dream (the All Blue) because he felt in debt with Zeff, so until Zeff didn't recognize Sanji (Zeff was talking to someone , Luffy?, confirming that he indeed recognizes Sanji) then that debt went away so Sanji could join the SHs.
In the case of Yamato, the panels I shown are her dream, I don't think that it's the same that Kid saying he will Kaido.
In another moment/day I will talk about Carrot.
It's alright, no worries.
Yeah, Sanji was repressing his dream. But he was being totally serious when he said he would never join the straw hats. He wasn't crossing his fingers, or intentionally lying. He legitimately thought he would never join them. But that's us discussing the background surrounding Sanji's character to analyse the credibility of his claim. We should do the same with Yamao. Analyse if her declaration that she's travelling with Luffy fits in with the rest of the story.
That's why I said, just posting a panel of Yamao saying she'll travel with Luffy on its own doesn't prove anything if it's not supported by the story. And the thing we've been discussing this whole thread is that very question.
In the case of Yamato, the panels I shown are her dream, I don't think that it's the same that Kid saying he will Kaido.
She hasn't explicitly stated what her "dream" is, but we can analyse are her multiple desires. Those being:
-She wants to be Oden
-She wants to set sail and have adventures
-She wants to become a samurai
-She wants to protect Momo with her life
-She wants to open the borders of Wano
Her desire to become Oden and have adventures are different from her
expectation that Luffy will be giving her a ride on his ship. In the panel she explicitly says "Speaking as Kozuki Oden I've followed the logic that says you should be giving me a ride on your ship". Both times she never says "I want to sail with Luffy". She simply says that if she's Oden, she expects Luffy to invite her on his ship since that's what happened in Oden's journal.
That means if she doesn't travel with Luffy her desires can still be realised as long as she still gets to adventure and be like Oden.