Truthfulness is more than avoiding an explicitly false sentence. It includes making honest promises, not concealing relevant parts of a story to mislead others, and fulfilling responsibilities one has accepted.
Example 1: A seller discloses a defect in a product.
Example 2: A student admits cheating and repairs the mistake.
Example 3: In a disagreement, a person reports their own part of the error too.
إِلَى الْجَنَّةِ uses إِلَى to mean “toward Paradise.” The narration describes a moral path toward Paradise; it is not an invitation to make final judgments about individuals based on one statement.