Except your food expenditures are a sunk cost, and you can't replace them with fuel expenditures. This is literally comparing apples and gasoline.
Your food expenditures vary with the amount of work you do, no different than your car's fuel expenditures. They are most certainly not a sunk cost for this purpose.
It turns out that about 70-80℅ of what most people consume goes into simply keeping them alive (research basal metabolic rate & daily calorific requirement) and the impact of "work you do" is only a small variation - with the above exceptions.
Also interestingly (unable to search the paper reference on phone) there is research that shows that dramatically different lifestyles like Namib desert nomadic hunter-gatherer vs. typical urban don't actually differ on metabolic rates (accounting for non-fat weight)