If the UK doesn’t commit forces to France, France should receive a "Betrayed Ally" event.
Have you ever noticed how quickly the North Africa campaign ends? That’s because, in HoI4, there’s no Dunkirk—Britain never loses its equipment, allowing it to maintain a full fighting force against Italy in North Africa. There should be an event where, if Britain doesn’t commit ground forces to France, France receives a “Betrayed Ally” event, causing all of France to go to Vichy and declare war on the Allies.