The problem for me was I was 300lbs. That's a really long time to run a deficit until I reach a weight I'm happy with. Took me nearly 2 years last time.
I think what you're describing is probably accurate for reasonably lean people trying to cut 10lbs. But for the severely obese (I briefly hit morbidly, in my case) that strategy doesn't help very much. Getting from 300 to 290lbs isn't nothing, but it's not enough.
I believe that you only get to severe obesity by something being seriously wrong with your metabolism. Therefore you need to identify that issue and fix it, probably with some pretty severe intervention, to get back to healthy.