I think that would result in a too low calorie and low carb diet.
I ran all the numbers and came up with an average daily carb budget of 330g and that would be running a deficit in order to lose 1 pound per week. (That is also budgeting workouts.)
It seems that you still have to have a sense of one’s daily caloric requirements and then know how much to cut back on in order to run a deficit.
To make it more complicated, you can eat more carbs prior and after key workouts and then less carbs on easier endurance and recovery days.