I don't question "concept of truth." Ironically, the truth is corrupted already.
To answer the question "is there any other kind" would be enough to provide one [just one] example of a truthful history book (it is ok if it is imprecise in details as long as it is accurate overall--think physics theories within their application domain--we are far far away from history resembling hard sciences).
The example would demonstrate falsehoods you believe in.
Even a biased account of history is a record of history, in some ways even more interesting when you have other biased accounts to compare with.
Goofy as his methods are, Herodotus is a very compelling read specifically because it's not one coherent narrative, but a collection of points-of-view (none of which may be entirely correct, but reflect what people claimed at least).