Exactly.
When you analyze Churchill's strategy to win the war, it consisted of essentially one goal: Bring America into the war!
Many of his actions were predicated on showing the Americans he and the Brits were serious about fighting, and convincing them they had to get into the war.
Churchill gpt criticized for his “Soft Underbelly” approach, thinking that invading Italy was the key to defeating Germany instead of invading France.
But the fact is, the Normandy invasion would not have been possible unless we did invade Italy first and tie up the Germans there.