No, correspondence: A belief is true if and only if it corresponds to a fact.
Coherence: A belief is true if and only if it is part of a coherent system of beliefs.
Pragmatism: Truth is the end of inquiry - or - Truth is satisfactory to believe.
Realism: The world exists objectively, independently of the ways we think about it or describe it. Our thoughts and claims are about that world.
Anti-realism: Truth is not, to this view, a fully objective matter, independent of us or our thoughts. Instead, truth is constrained by our abilities to verify, and is thus constrained by our epistemic situation. Truth is to a significant degree an epistemic matter, which is typical of many anti-realist positions.
Redundancy: "It is true, that is snowing" is the same as "it is snowing".
So, no, not all theories of are ontological/metaphysical as yours is.
You can also see that here:
philosophy | Definition, Systems, Fields, Schools, & Biographies
Notice the "or" and how the 2 part start for different considerations. "Reality as a whole" versus "human existence and experience".
Truth depends on where you start and what you take for granted.
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Once again, I *didn't* claim they were the same philosophy. But *all* of them make a distinction between fact and fiction, with truth relating facts. ALL of them have truth being something other than simple, personal belief. None of them accept myths as true.