The idea that a private language exists (ie. ‘mentalese’) is taken for granted by a lot of authors. I recently read Stephen Pinker’s book The Language Instinct and he never seemed to doubt the concept for instance.
I must admit that I last read some Wittgenstein about 15 years ago, but even so, I don’t find that this understanding of what a “private language” really means is that far off from his writings. If anything, it completely invalidates the 2000-year old platonic “ideas”, as me and you thinking of different things when presented with the words “red apple” practically means that there is no underlying “red” or “apple” idea behind those concepts. That is something very valuable, Plato’s interpretation being debunked, that is.
This is one of my favorite parts in a fictional book Anathem. The question of syntax and semantics is explored there, and even a solution is suggested.