The other posts have covered the differences IMO, but I must say that we enjoyed Pop Century enough, that we prob won't do a moderate resort again. Possibly CSR if we get a great deal.
We were closer the food court, and pools than at any of the moderates. Rooms are smaller, but adequate. Just takes a little organization. No more noise than at CBR/CSR. We were at Pop, and did have Mickey soaps/shampoos. I don't think they have them at the All stars though.
We still only had 1 sink at CSR, and the 2nd didn't make that much difference. The Curtain at CBR was nice though. Gave a separate changing area, for my becoming shy DD.
You just need to ask yourself if the sit-down restaurant is important to you. Pool slide etc. For the fridge- A Stryofoam cooler works fine for us. And if it is important to have a fridge, you can still rent them. If you are driving, you can buy one at home, and haul it down there for cheaper than the rent.
If the resort is just a place to sleep, then save some $$. More to spend on other things.