Truth is absolutely _not_ subjective.. a person is either alive or dead, the earth is either flat or not flat, e = mc2 is either true or false, .. I could go on,
I can agree with you on this point but when someone is standing on the earth they can prove it is flat. Then you zoom out and prove it is not. The flat earth person will just say: "that's not what I meant."
Zoom out to the cosmos and think about the truth available to different observers. This same principle holds across the board. You have to reconcile with each observer, and until you do truth is subjective.
I just have trouble stating that my objective truth is also someone else's objective truth. What if my information is "the Bible." You can split hairs with these people until you die of old age and they can technically be wrong but their truth can work for them.
Just like we have all kinds of wild unintuitive math proofs that are very enlightening once they are communicated to all observers. Newtonian physics are true until they aren't, the same as those Bible "truths."
Given the infinite probabilities of the universe I have trouble declaring a set of objective truths that are immutable and try to give people a pass on what they hold as true. Can anything be known? We settle on some truths that work for us in the little time we have.