For such a thing to exist, there must also exist its inseparable opposite. It's, very clearly, a non admission admission, that's synonymous with "compartmentalization", which is where we must look for an in depth understanding of its true meaning.

To not only deny something, but to imply that such an action is in a category of things that they would never partake in.

Another way of saying "I didn't do it, and I wouldn't ever do anything like that."