I think you've got some things twisted here, you certainly can eat more than you burn.

For example my maintenance calorie level is around 1400 a day. I work a sedentary job and do moderate exercise 5 times a week. The low amount of calories I need to maintain my weight was surprising - I always went by the RDA of 2-2.5k - no surprise I was slowly gaining weight over the years.

I can easily blow past 1400 without even thinking about it. I drink about 500 cals of milk a day alone. No carbs in that yet I'm already 1/3 of my limit and I've not even had that 1000cal tub of ice cream.

Protein is harder to overeat because it's lower calorie per gram and its harder to digest so we feel fuller for longer.

If cutting out carbs works for you then crack on! It's all about just finding the diet that works for you because trying to do something too painful will unlikely result in meaningful lifelong changes.