If you're going be that pedantic, you rule out all statements of moral or value judgement, all statements pertaining to the future, and most things relating to abstract nouns. This makes it impossible to discuss anything political at all.
Then they're not valid for anyone else who doesn't have exactly the same set of axioms. You can only form sentences of the form "I believe it is wrong for me to ..." and not "I believe it is wrong for you to ..."
wyager either doesn't want to construct such a logical language system and is just pedant-trolling us, or he's too naive about the underlying inconsistency of human languages to bother talking to.
If they are neither true nor false, they are ill-defined.
>The sun will rise tomorrow.
Definitionally ill defined.
>This statement is false.
Inconsistent statement.