What about allergies? They can be life or death. Are they “diet-modifiers”? How would you express “I eat everything except wheat, eggs, and white fish”? E.g. my partner gets a rash from eating raw tomatoes (heat-treated ones are fine). That’s weirdly specific, I know, but it does highlight how difficult these things can be.
Someone who’s diabetic can eat sugary and carb-rich things. It’s not an allergy and they like it as much as anyone else. However, they’ll have a strong dietary preference for meals where sugar and carbs aren’t the main ingredients. Labeling them a “SugarFree” would be old-fashioned. The term “LowCarb” is a somewhat-related-but-different health fad. “I prefer a smaller amount of carb-rich sides like potatoes and rice. Give me one instead of three potatoes, and add some filler-greens instead. I’d like one scoop of ice-cream for desert instead of three as listed on the menu.