You can have ID, refuse to show it, and at this point a decision CAN NOT be made. I honestly do not understand why you do not get this.

At this point the TSO/STSO MUST try to verify your identity another way. If you comply, and help us ATTEMPT to identify yourself (does not have to be successful), you may be allowed through the checkpoint, and may receive additional screening.

However, after first refusing to show ID, AND if you refuse to help identify yourself by other means, at this point, and ONLY at this point, will you be denied access.

I have no idea how i can make this answer more clear. I am not avoiding answering you, despite what you claim. I honestly have no idea how to be more specific.