Smoo ring motability and ask them to help you as you can’t see the spec on the scheme and have little faith in what the salesman is telling you, surely a definitive answer isn’t impossible?
Unless the key fob function is an extra nobody else can seem to order due to safety but you? I think they are still giving you the run around and will plead ignorance.
Do you have another car on your short list as a back up just in case.