This is the right answer. Everyone who disagrees with you are amateurs.
A Javadoc-esque API doc is the minimum requirement for a serious language/library. Examples and tutorials are nice too, but the API doc can be automatically generated in every serious language so not having it is just plain unacceptable.
Tutorials, articles and examples etc are fine too, they can be combined with the API doc like Java does. But that's gravy, on top. You don't have just gravy, it needs to be on top of something and that something is a proper API doc.
This isn't even a discussion in my mind, it's just the right way to do it. It's a solved problem. You optimize for power users not amateurs. 99% of the time when I look up docs what I need is a plain boring API doc, I only need examples in my first week.