I can give you a personal experience that contradicts what you're saying.
A week or two before our trip, I went to the official WDW website and wrote down all of the EMH days and times. I planned to take my son for morning EMH at Epcot. As you know, Future World opens at 9 a.m., except during morning EMH when it's 8 a.m. at 7:20 a.m., we boarded a bus marked "EPCOT" at our resort, and got to Epcot maybe 10 minutes later. We stood in line at a turnstile, waiting for 8 a.m. to hit. Well, we waited ... and waited. We later learned that about 1 week earlier Disney had changed thr EMH schedule, and that the Studios had morning EMH that day but Epcot didn't. We were let through the turnstiles some time maybe 8:30-ish and assembled down the road near the fountain for rope drop.
The bus we got on said "EPCOT," not "BREAKFAST" or anything like that. That puppy was heading straight for Epcot, and we weren't the only ones on that bus.