Whose truth is it?

I have noticed that people sometimes say something similar to “I am living my truth,” or “You have to own your truth.”

Now, I recognize that personal experience can lead people to many divergent opinions about life, but truth? It seems to me that truth is more objective rather than subjective.

Am I missing something when I think that truth is evident in things that are verifiable?

Is this just a way of defending one’s personal beliefs? Does declaring something as a personal truth mark it as sacrosanct? Does it place an idea or belief above debate?

What’s hard about recognizing one’s ideas and beliefs might simply be opinion?