A subtle distinction

Notice the difference between these two statements:

The truth may never be known.

This suggests ultimate reality may remain uncertain.

But:

The facts available today indicate...

This means:

Based on the evidence we currently have...

So truth is often treated as the broader concept, while facts are the pieces of evidence-supported information that we can establish.

Compare the two expressions

present claims as established truth

This is understandable, but sounds slightly philosophical.

Now compare:

present claims as established facts

This immediately suggests:

evidence

verification

proof

objective support

That is why legal, academic, and journalistic writing overwhelmingly prefers established facts when discussing whether claims have been verified.