Not exactly, for example, if your title is Customer Service Rep but you helped train a new hire class once, your title didn’t evolve to Trainer, you are still a Customer Service Rep. (this came up on a resume I saw recently)
May I suggest that example you gave is a great example of a picayune distinction? Did the man serve as a Trainer? Then he’s a trainer. I trust in the future ability of people once they are liberated from the chains of picayunity.