Does dye have to be listed in dairy products?

Does dye have to be listed in dairy products?

I ask this, because when reviewing the FDA TITLE 21--FOOD AND DRUGS, PART 74 -- LISTING OF COLOR ADDITIVES SUBJECT TO CERTIFICATION
I noticed at the very bottom of the page, part (3) When a coloring has been added to butter, cheese, or ice cream, it need not be declared in the ingredient list unless such declaration is required by a regulation in part 73 or part 74 of this chapter to ensure safe conditions of use for the color additive. Voluntary declaration of all colorings added to butter, cheese, and ice cream, however, is recommended. So I checked out part 73 and 74 and see that out of all the petroleum dyes, only yellow 5 has to be listed. When clicking on each dye, it does however say to refer to 70.25 about labeling. Maybe it says there that milk and cheese has to be labeled. Tomorrow I will give 70.25 a whirl. This might explain why Mason can't eat certain pizzas, pizza rolls, and artificial butter; I thought it was the artificial butter flavor he was sensitive to.

Update: 70.25 does not have any further info on dairy products, so I am assuming that under law, it is only recommended that companies list added dye. Since finding this, we have kept to eating only organic dairy products.