Earlier quoted context omitted.
Your argument is not an argument against comments, it's against any kind of description. Your code works just as well if you assigned each function a unique number starting from 'func0' - that's how code obfuscators or minifiers work. Unless the act of shoving comments into function names makes the compiler type-check them, you are still writing something that the compiler will ignore eventually.
I think his argument is: "Comments is not a substitute for short functions and javadoc". That sounds extremely valid, imho.
Javadoc and comments are both forms of code documentation. Perhaps we can generalise OP's point to the following:
"Most of the things programmers say about documentation of code are excuses for not writing any documentation at all"
I'm not going to use a library without documentation in favour of one that is documented. Above a certain minimum standard, it doesn't matter how 'clean' the code is if you don't understand why it exists. Cute naming simply doesn't make up for a lack of documentation, and avoiding documentation should be considered a cone of shame, not a badge of honour.