From this answer,
... the lasso compelled obedience on anyone who was bound by it and telling the truth was a side effect ...
However, in several on-screen appearances (animated or otherwise) of Wonder Woman, the Lasso has demonstrated that it can be used to make someone tell the truth. Of course in that case, the wielder of the Lasso (be it Diana or anyone else) demanded them to speak the truth.
But the truth can be interpreted in two ways. Does the Lasso compel a person bound by it to speak the truth or what he/she "believes" to be the truth?
Is there any such occurrence in Wonder Woman source media (comics, movies, animated series etc.) where it is explained?
NOTE: Related to, but not a dupe of: Does the Lasso of Truth compel you to speak?
Another related question: Can anyone, including Wonder Woman, resist the Lasso of Truth?