I haven't been told I was carb sensitive but I know I am. I have committed to doing a very low carb, high protein, high fat diet for the entire month of May after losing only 3 pounds in april. I'm doing 20 net carbs (carbs minus fiber) 70-90 grams of protein and the remainder of my calories from fat.
There are a lot of folks who say "a calorie is a calorie is a calorie" but I don't feel like it is the case in my body. Give it a try, see how you lose, see how you feel.