Personally, I chose not to name the supplier because the OP chose not to, and had already stated that he was in contact with them. It seemed best to let the jaw-jaw approach continue without distraction.
Having said that, I rather doubt that the intended customer base would necessarily see posts such as this, so no need for lawyers to get involved.
I doubt also whether the instructions were written for just one supplier; I suspect they are based upon Chinese traditional woodcraft methods and shoehorned into any number of generic lathe instructions.
Duncan