Clearly when you state :
X is true, modifier
If the modifier clarifies or contextualizes X, it is serving to identify the fact which is purported to be true.
If the modifier attempts to change the meaning of “true”, to something irrational, mystical etc. then the statement is invalid.
If anyone got an A in LP’s class he did not earn it by finding an example of a “FACT X is true, for me which FACT is not true for you.” precisely because this form of modifier “for you” versus “for me” is one which attempts to modify the meaning of “truth” as such by attempting to divorce FACTS from truth and insert consciousness. It is attempting to make reality itself, subjective.