We stayed at the cabins for the first time this year in March. There were 6 of us, so Port Orleans Riverside, our usual haunt, was out of the question as it would have required two rooms. Without a doubt, the cabins are by far the most relaxing of the resorts I have stayed in to date. It is just like being home. We threw open the door in the morning and let the kids (twins, almost 3 years old) wander out on the porch and around the grounds (watched by big brother/sister of course) without having to worry about them crossing into a parking lot just feet away. The local "wild" life added to their enjoyment.
Having a kitchen meant meals were relaxed. No need to rush everyone out for breakfast or a late meal or snack... just run to the trading post and grab something to warm up. We also packed snacks and the like in our checked luggage, which saved a great deal on food expenses.
Not all is rosy, however, and the bad news is one word: transportation. The bus system, while usable, is annoying at times, especially with a young child or two. We had reserved a golf cart, and despite the expense it would have been far less relaxing without it. Also, you have to catch transportation to different parks at different places, which can be annoying until you get used to it. More than once we found ourselves waiting at the wrong bus station, until I found the "rosetta stone" tucked away in our resort packet. Read it, memorize it: you will be tested!
Now that I have a handle on the transportation, I don't think I would stay at any other resort under the same circumstances. That isn't to say that I would choose the cabins for a quick couple of days with my wife, but certainly if the whole family is involved the cabins would be first choice.