I see three levels of integrity.
Soon after someone learns that integrity is keeping your promises, they reason that if they don’t make any promises, they can have perfect integrity.
Then they discover nobody cares. Some never go beyond.
The next step is to make and keep appropriate promises, depending on what you can handle and your capability.
Finally, because life is a rodeo, integrity is making the promises that need to be made and then finding ways to keep them.
What’s your level?