The general consensus of opinion was the flap was help WARM the carburretor. This, in very cold climates can help stop 'icing'--a situation where the water in the air flowing into the carb literally forms a layer of ice inside the venturi of the carb. Senior members of the Forum will probably this problem, especially on the Ford Anglia. The trick was, when the engine died, leave it for a few moments so that the heat of the engine could filter through to the carb, let it melt the ice and then try starting the a car again---it normally started, and carried on as if nothing had happened.
The answer to your question is that you OPEN the flap in the cold weather and CLOSE it in the warm weather. To be honest though, in the UK the weather, at the time of the year when we drive the Fiats, rarely gets cold enough to warrent use of the flap.