But nothing can 'cohere' with an inconsistent set. Put another way Coherence theories violate the law of the excluded middle. And there is a third objection. Violate the law of the excluded middle. Presuppose a theory of objective truth.
Many persons find coherence and pragmatic theories very attractive.
Clearly such theories must be appealing to some strong pre-philosophical insights. And indeed they are. But they are not good accounts of the concept of truth itself. As theories of belief, they have merit. Very often the objects of their criticism bear little or no resemblance to Tarski's theory.