The thing is, that statement is meant to refer to the immediately provable information he is providing. It applies to stuff like his name, his social security #, his business, etc etc. When the language comes around to the MAME mark, it starts using more subjective language. THAT is the legal difference.
You can prosecute someone for giving a false social security number. You cannot prosecute them for saying they believe they are entitled to that trademark since belief has no direct bearing on fact.