Yep...kids can get it.
The last time we went, there was a woman seated by herself at the table next to us attempting to order the kids' aycte platter. She got irate with the server when she was told that she couldn't order the kids' aycte platter for her meal. She kept telling the server that she was able to order off the kids' menu at other Disney restaurants, and demanded that they let her now. Really made a scene, and looked like an idiot.