Which of the following statements about 'Low' Radial nerve palsy is not true:

A i.e. Loss of nerve supply to brachoradialis - Mnemonic - "TAB Long radial muscle" i.e. Triceps, Anconeus, Brachialis and Brachioradialis & Extensor carpi radialis longus muscles are spared in low radial nerve lesions (i.e. lesions below the level of elbow.) - Lateral & posterior cutaneous nerves of arm and posterior cutaneous nerve of forearm are also spared in low radial nerve lesions.