"by falsely claiming that truth is objective"
Truth is subjective in the sense everybody, everyone has to see it for themselves; You can't force someone to see it.
("there's my truth, and there's your truth")
This would mean truth is subjective, depending on who sees it or not, rather than eternal and stable.
just sayn'
Unsure why this is "notable", no sauce, And got "subjective" and 'objective" mixed up
Carry on.