I don't think a low cal diet is a low carb diet in disguise when you are either penalised or told to avoid protein and fat....
You could technically define a low carb diet as low cal in disguise...
I said it is when it works. You didn't prove that a low calorie diet can't be low carb, so you really didn't refute what I said. As to your first point you went on to add the qualifier about fat. Then it's a low fat diet. I never said anything about low fat.
A low carb diet can be low in calories. However it works the same without being low cal. So while I agree with your point literally, I don't agree with the insinuation.
I still don't find anecdotes very convincing. Especially those with very few details.