Without identifiable features, that would be the same as saying he was wearing pants. It's meaningless, so, no that's not the point.
Oswald was seen wearing a jacket @Tippit.
Identifiable features for jackets include looking like a jacket.
Oswald was seen wearings pants @Tippit.
Identifiable features for pants include looking like pants.
Oswald was seen @Tippit wearing his own face, as it turns out.
Identifiable features for faces include looking like yourself.
Oswald was arrested while wearing pants.
Oswald was arrested while not wearing a jacket.
Oswald was arrested while looking like himself.