Why I think so, I’ll explain later, let’s see how punctuality is defined in Wikipedia: the characteristic of being able to complete a required task or fulfill an obligation before or at a previously designated time. "Punctual" is often used synonymously with "on time". It is a common misconception that punctual can also, when talking about grammar, mean "to be accurate".
In business world punctuality means organizing your time effectively; to be more productive as you start or get on time; in some countries to be respectful to your hosts and well, yes – also disrespectful in others; in short, punctuality affects the individual just as much as it affects the workplace to operate more smoothly as a whole. Punctuality reduces stress as well as stress leads to poor workplace performance.
Does then being punctual strengthens and reveals your integrity?

It is said that when George Washington’s secretary arrived late to a meeting and blamed his watch for his tardiness, Washington quietly replied ‘Then you must get another watch, or I another secretary.’
When you make others wait, you rob minutes from those that came early or on time.
I recall leading a project group in a government environment: we had meetings in a place where most of attendants had their offices. The reason was not to spend time of most participants on commuting. I usually arrived few minutes earlier. Once, after several attempts of asking people to be on time, I have written on the big wall table names and numbers. Everybody seemed a bit wary while watching me. When the last person finally arrived I summed up the numbers and multiplied with average hour salary for our group. We lost almost an average monthly salary while waiting.
The importance of being punctual is not universal and varies from country to country, even within country and from culture to culture. In some places like south Europe, Latin America or Pacific Islands, life moves at a different pace than in northern hemisphere and meeting times are meant to be more incoherent.
Does then being punctual build up and reveal the extent of control a leader has?