I recently stayed at both and enjoyed both!
The Courtyard-
We stayed here Nov 2001 for $25 a night (due to 9/11). We booked through
Dreams Unlimited and were very happy. Even with paying just $25 , we got all of our requests (NS, tower room, high floor overlooking DD). The rooms were very large and had amenities such as hairdryer, coffeemaker, iron, board, safe and toiletries (don't remember exactly what). The atrium was nice, with a glass elevator and they had a bar, snack bar, and a nice breakfast buffet for $6.95. There was also a very nice little
Disney Store. The pool area was nice with two pools (one heated) and a kiddie pool and playground. They also had a sit-down rest. ,which was closed at the time due to 9/11. We had our own car and made it to the parks very quickly and easily....
The All Star Movies -
We stayed here Jan 2002 for $49 (FL Res rate). We had two connecting rooms on the first floor (NS) in Toy Story (quiet side, away from Andy's room). The room didn't have many amenities (just Mickey soaps!), but Mousekeeping did very cute things with our stuffed animals and towels, washcloths, etc... My mom also brought her own 4 cup coffeemaker. It was just a few steps to the main pool and lobby/food court/playground. The pool area was great and had lifeguards. There was a pool bar and someone doing hairwraps . In the main bulding was a huge arcade and huge Disney Store.The food court was amazing! We never actually ate in there, but went very early in the morning and brought food back to our room on the tray and late night snacks. There was a convenient grab and go deli section with everything! We did use the bus servcie one night and it was great! We also didn't have to pay for parking at the parks .
If I had to choose between the two, I would choose ASMo. We just had more fun there!!!