DH and I stayed value our first 3 trips and we will never stay value again. While the rooms and service were certainly Disney quality, we were tired of the congestion (too many people and too close together) the long waits for transportation and unruly children and teenagers.
Our pick for moderate has been POR-French Quarter for several reasons.
1. The resort isn't so spread out that you have to walk a mile or wait forever for transportation because you're at a location other than the main pick up.
2. The lounge is wonderful and the entertainment is a good deal of fun. the pool bar is also a good time!
3. The rooms are awesome (free fridge).
4. The boat launch to DTD is very accessible.
We looked at the Caribbean and did not like the lay out of the grounds or the fact that we were on a bus for what seemed like forever to get anywhere. You also have to take a bus to get around the grounds if you don't want to walk. (this is also true at POR-Riverside) however, there is a boat that goes between the FR and RS.
The moderates are much more quiet and people tend to be better behaved for some reason. If you don't mind the congestion, the values are fine, but if you'd like some peace and quiet, I'd highly recommend the moderates!