In the past I have held approvals from various authorities to train and issue type ratings on equipment from DC3 thru B737. Currently I am 'instructing' Chinese national cadet pilots on light jet aircraft. Seeing as they have zero hours on jets when they start, I can't see how it could be anything other than instruction.
But I have never held an instructor rating. I would not know how to get someone up to solo standard. Nevertheless, an instructor I am, and the Australian Civil Air Regulations say so. CAR 5.19, 5.20, 5.21 etc. Additionally an organisation with its own CAR 217 check and training approval can appoint instructors for line training. Most countries have similar provisions.
Now, I await some anally-retentive type out there to tell me the difference between 'training' and 'instruction'.