We did it without a problem in April. When we reached the "distrubtion" CM (is that the one who gives out the roses?) who was telling people what kiosk# to go to, we answered his question about the people in our party and then interjected with, "But we have some food allergies, I don't know what the easiest way is for you to handle that." He sent us to a staffed kiosk, instead of a self-serve one.
I actually really liked the system, because they called a chef over, but in the interim, they allowed us to look at the menu listing for the items we were interested in. So, for instance - I am a vegetarian, with a mushroom allergy. There are two veg dishes on the menu, but one I knew for sure had mushrooms. So I asked them to pull up the quinoa salad ingredients, and I was able to read it over before the chef arrived. Once he did, I was able to give my spiel - "Hi, I'm vegetarian, I can't have mushrooms/mangoes, it looks like the quinoa should be safe for me as-is," and the chef was able to confirm that. My other friend was a bit more difficult (she is latex allergic, so her plates have to be rewashed) but they still took it in stride. In fact, she made a suggestion to make their lives easier (serve on disposable) and they poo-poohed it, lol. I am guessing the fact that we were able to eat off of the menu made life easier, but I did not at all get the impression that it would have been an issue if we had been more difficult.