It would be moving goalposts if adding to what I said contradicted what I had said as it was, but since I'm responding so much I figured it's easier to follow up than go back and edit lol.
Sanji simps for any woman, and no, that's not the same as a man offering himself with a specific goal in mind. He didn't just go around offering himself to anyone, and if they wanted him to be a slave without any promises for his people it wouldn't have worked.
He danced for five years under the impression that it would lead to his goal. Again, not a bright character or one I really like, but this is still different from yielding. When Oden found out they played him, he didn't sit down and cry about it
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Luffy can take care of himself, he's considered more powerful than Zoro. So no, that doesn't line up with Sanji and Nami.
Believing also that Zoro would surrender without taking the effort to free himself is equally dubious. We already saw Shiki cut his legs off to break free, and we've seen Zoro try to do the same when trapped. You think Zoro would actually accept a lifetime?