Earlier quoted context omitted.
The point being, the converse of ‘parsing is validation’ is not true.
The word "is" implies an isomorphism. If you see it differently you are implicitly assuming a non-formalist perspective on what "validation" means. Tell us about it.
Are you talking about a bijective mapping or are you saying it's a synonym for identical?
Because the former doesn't make any sense here and the latter is not true.
Red is a color does not imply that all colors are red.