True statements do not imply false statements.The intended point is that if someone says something true (even if only in a strict, literal, or technical way), one should not "read between the lines" anything false.
For example, given that this principle is literally true, it specifies one should not assume it be intended to mean anything false. I therefore trust there will be no criticism of it in the comments. Any criticism involves interpretting the statement to imply something you consider false. :)