Cintas is required to interview for hiring and promotions. I don't know for sure, but management most likely has a good idea of who they are going to pick for promotions, but they must interview each internal candidate anyway.
If you have experience at an outside company, they value it because they are looking for new ideas that other companies have implemented.
Each interview question expects an answer in this format:
What was the situation
What did you do
What was the result