Do you realize that BCH has no white paper as well, then, by your own definition ?
And you forgot the piece of software (which contains the BTC ticker) that came with the white paper.
But ... This is barely an omission.

BTC isn't "Bitcoin, a peer-to-peer electronic cash system" by your definition of "a peer-to-peer electronic cash system".
This is subjective.

Stating the obvious won't obfuscate the fact that you try to blur the lines as much as you can, so uneducated newcomers end up buying BCH thinking they are buying "Bitcoin".