I was at MK and Epcot on Tuesday, the lines were very long. I kept accidently getting in cart lines without trying, lol. I was at the Teddy Bear shop at Germany in Epcot and could barely exit the store, the crowd was thick, so I waited my turn. Here it was the cart line for the pretzel and beer. Never saw it that long. The line went all the way back to the counter service restaurant at Germany. We waited 20 minutes for Small World. Buzz Lightyear was a 90 min wait, but we had fast passes. When we arrived at Epcot there was a huge line for space ship earth, with the queue extending and winding outside the attraction. When we left at 8:30pm, there was no line and we walked right on it.
Disney did not offer AP discounts or Fl resident discounts for June 3 to July4. I think they had enough people book rooms that they didn't need to. I've been hearing from the resorts that they are booked to capacity.
When we stayed there we utilized the EMH and that helped. We found the crowds to be particularly managable for the last 2 hours of evening EMH at MK. We were allowed to stay on Buzz with out exiting first. We just walked up on Aladin's magic carpets. We went on Dumbo the first hour of EMH and waited about 40 minutes.