put your hand on the pipes round the 3-way valve and see which are hot.
If it's an unvented cylinder it should have a 2 port valve on the flow pipe to it, even if there's also a 3 port valve. It's part of the fail safe system.
Anyone working on an unvented cylinder should have the "unvented ticket", an identity card to show that the person has undertaken a short course and assessment on unvented cylinders. Ask the "engineer" if you can see his "unvented ticket" (not the Corgi card).
If he doesn't have one or won't show it, ask him for the name of the BG manager who is authorising him to work on unvented cylinders when not competent to do so. He'll quickly disappear and you should get someone competent within a few days.