Virtually nobody “cares about the truth” in the absolute sense needed to make that statement logically correct.
As a matter of logic nobody caring about the truth (in whatever sense is meant by the claim) is sufficient to ensure that the statement is always correct (the part replaced by the ellipsis need not be resolved). (The problem is that it is then probably useless.)
As a matter of logic nobody caring about the truth (in whatever sense is meant by the claim) is sufficient to ensure that the statement is always correct (the part replaced by the ellipsis need not be resolved). (The problem is that it is then probably useless.)