It's offering more supervision than someone wants. If you had said that, Mike would have instantly realized that you had understood your error and would therefore be less likely to repeat it. Instead, you argued with him and insisted you were right. Because of that, he knew that you would almost certainly repeat your mistake again. Rarely can we have both.
People really get to decide who they are and what they want in a relationship.
Mike gets to decide what mothering is for him. He really does. If you can't accept that, you can only hurt your relationship. If you can accept that, call him up and tell him you made a mistake. You'll be a lot happier.