Your saying ivankov can't teach sanji anything when sanji fought bon chan who knows new llama kemp and fights with his legs whom he learned that from ivankov or at least ivan is supposed to be one of the founders of the style
The Newkama Kempo is very much different than Sanji's fighting style. Just because both use legs doesn't mean that Sanji actually stands to benefit from someone using that style.
What your saying is literal bull Ivan is his trainer for a reason he did train him whether it be through trials and running etc we still don't know full detail behind it
Except Ivankov already explained in detail the "training" that Sanji would be going through. He said specifically that Sanji's training would be him fighting the Attack Cuisine Masters and eating the Attack Cuisine. We also saw Sanji in flashbacks getting stronger through running. Ivankov's strength is irrelevant to these trials as the trials Sanji went through that got him stronger would remain the same level of difficultly regardless of Ivankov's strength.
For u to say sanji strength does not depend on ivankov at all the same can be said for zoro who we've only seen attack monkeys and not Mihawk or Luffy with the beasts rather then him with he dark king.
That's exactly true. Luffy got stronger by fighting the animals on Rukishina, and Zoro got stronger through fighting the monkeys every day and learning Haki. If Rayleigh and Mihawk were 10x weaker, Luffy and Zoro would have gotten the same level of strength boost because all of their training methods were independent of the actual strength of their teachers. What matters is their teachers' knowledge, not their strength.
Not to mention you say sanji and Ivan's fighting style don't match
Well in what world does the dark king fighting style and Luffy match???
They don't. And like Ivankov and Sanji, Luffy's training was independent of Rayleigh's strength, depending only on his knowledge of Haki and fighting the animals.
Rayleigh straight up left the island 6 months early because he taught Luffy everything he knew about Haki and Luffy remained behind to use what he learned to fight the animals, making him stronger. That alone proves that the knowledge of their teachers, not their strength, is what played into their training, with the rest being their individual abilities and potential.