Extra cardio to lose weight faster?

I know that strength training is super important for fitness and losing weight. While doing CICO, if you set a calorie threshold per day (500 below TDEE or whatever), then it stands to reason that adding a lot of cardio will help you lose weight faster, right? Burning an extra 500-750 calories per day and still eating below your TDEE would melt weight off I would think…???