I appreciate that you consider yourself to be denying that any such thing is possible -- which is why I am interested in finding out exactly what it is you're claiming, and whether your disagreement with the seekers after objective truth is about more than terminology.

I certainly do make real life decision based on my views that I wouldn't make if I would seek objective truth. When making Anki cards, every one of my cards explicitly states the context in which a statement stands. Creating Anki cards forces you to think very hard about statements and how they can be true or false.

Barry Smith against Fantology might also be worth reading.

A dark force haunts much of what is most admirable in the philosophy of the last one hundred years. It consists, briefly put, in the doctrine to the effect that one can arrive at a correct ontology by paying attention to certain superficial (syntactic) features of first-order predicate logic as conceived by Frege and Russell. More specifically, fantology is a doctrine to the effect that the key to the ontological structure of reality is captured syntactically in the ‘Fa’ (or, in more sophisticated versions, in the ‘Rab’) of first-order logic, where ‘F’ stands for what is general in reality and ‘a’ for what is individual.