I think that here, in this case, it is the special use of an intransitive verb with adverb/preposition.
read (v): [intransitive] + adverb/preposition - to give a particular impression when read.
All your examples sound okay to me!
Not a part of this answer but...
"Because it doesn't say here that the book reads something..."
A tongue in cheek example includes - English is the language where your feet smells and nose runs!