Yup, you can take food on Disney transportation. I usually pack quart sized and gallon sized ziplock bags and stash a few in my backpack each day, just in case I have leftovers (or a meal) that I want to take back to the hotel with me.
Ahh, I recall making those announcements.Ill always remember the bus announcements stating "We ask that you refrain from eating, drinking, and smoking while on board the motorcoach". Just one of those weird things that stuck with me as a kid.