I think there are a couple of underlooked points for weightlifting's contribution to sustainable weight loss.

- the weight that you are gaining with a surplus diet turns into muscle instead of fat. You can take diet breaks and just gain muscle faster which will help when returning to a deficit.

- the increased 100-200 calories from lifting can make a 100 calorie deficit easier to adhere to as it's a smaller proportion of your total.

- weightlifting reduces stress which is a common cause for over eating.