I'm assuming you mean they don't publish it in any outward-facing way. It's not on their websites, but literally every WDW dining establishment, including kiosks and carts, has a big janky binder with complete ingredient info for every dish. People with allergies or lifelong dietary concerns end up becoming very familiar with these binders. This is what you'll be presented if you indicate to a CM when ordering that you have a dietary concern they've not heard of (like, I imagine, this particular diet). I guess though that also depends on how strict you're being and how you phrase it. If you just ask them for healthy foods or say "can I get a potato without toppings" I'm sure most CM's will work with you and make recommendations without ever thinking about the binders. If you phrase it as though it's a serious concern like an allergy or religious/moral lifestyle choice, then you'll get the binder because Disney folks are pretty much trained to err on the side of caution and none of them want to be the CM who caused an allergic reaction on otherwise ruined your day.