Very frequently we associate integrity with “speaking the truth”.
There are sitiuations for e.g. the Facebook data breach saga wherein Mark Zuckerberg confessed before one and all admitting the mistake.
Acts such as these should not be confused with “integrity”.These are more of damage control.
True integrity is when the leader has the guts to admit an act of wrongdoing before a public outcry or scandal surfaces up.
Simon Sinek highlights this in his book titled “The Infinite Game”.