So we're basically at square one ?
What we know for a fact is
- Kizaru and Akainu were trained by Zephyr and Zephyr told Kizaru that he's to overconfident and heavily reliant on his fruit.
Whether it was a databook or sbs was only my guess. It also could've been in the special volume for the movie itself. Point is, somewhere in a third source it was mentioned which is why the wiki is carrying it and seemingly it treats it as canon otherwise they would've mentioned it's non-canon.
You can use the link i posted to be linked to the source material the wiki took it from.