So, I hate to be a downer, but this fall we went on our first cruise with Disney and our youngest daughter (3 years old) has a severe dairy allergy. Honestly, it was a bit of a nightmare. In full disclosure, our daughter's allergy is so severe that she will break out in hives from merely touching dairy (as opposed to ingesting it when she will have more severe symptoms). Normally, that isn't that hard to do, but on the Dream, there are ice cream stations on Deck 11 and on our first day on the cruise there was literally ice cream dripping everywhere. I swear 80% of people were eating ice cream on the deck. My daughter broke out in hives within a few hours on the ship.
Also, while they are very good about making allergy-free meals in the dining rooms, it can be very hard finding allergy-free meals at other times -- for example if you are out on an excursion and miss the standard sit-down meal. Room service will NOT even try to accommodate an allergy. Also, they won't provide allergy-free meals on the excursions themselves. (At least they did not on ours.) After my daughter had not eaten anything since breakfast and we missed lunch because of an excursion, I tried to order her a hot dog and french fries through room service and they wouldn't let me (even though neither contains dairy).
Just wanted to inject here the the hot dogs that Disney serves do have milk in them. My son has a dairy allergy as well and wanted a hot dog on our first night but after checking the labels all of the hot dogs on board contain milk. Just an FYI. Then I said, fine, I know you can't guarantee it is dairy-free because it isn't made in a separate kitchen, but please just send me one anyway with no mayo or any other dairy-based accompaniments. I kid you not, it came with butter dripping on the bun and coleslaw all over the plate. My daughter eats out at restaurants all the time that don't have an allergy-dedicated kitchen, but with some basic common sense, we have never had a problem. Disney, however, was completely inflexible to the point that my daughter had to eat cereal with soy milk for an entire day because the order through the main kitchen wasn't placed early enough.
Then at Castaway Cay, they had supposedly made a dairy-free meal for her, but she ended up breaking out in hives all over and spent the afternoon in the medical building. It was very stressful.
While we thought the cruise was great in other respects, we have decided that we will not do another one for a while -- our daughter is still young enough that she may outgrow her allergies, but even if she doesn't, when she is older I will feel better about her ability to keep herself safe and recognize early when a major allergic reaction is coming on.
FWIW, we have been to Disney World with her many times and never had an issue. I was expecting the same with the
Disney Cruise line and was disappointed.