I am getting that the OP is making this decision based on the theming, not necessarily the price. And she didn't say anything about
free dining so that doesn't seem to play into this decision. At least that is what I
think, lol!
For me, I would always choose the moderate. On the other hand, when my kids were younger, the theming of the values was a big draw for our family.
POR has the larger room, queen beds, double sinks in a larger bathroom area and the boat to DTD. It also has lush and beautiful landscaping that makes you feel very transported to the south and its peaceful. I love the quiet pools and main pool at POR.
AoA, is a value on steroids as far as theming! I am sure most kids would love it, and while I think it looks colorful and very fun, I think I'd get really sick of that much theming in the room after about two nights tops.
I don't think you can make a bad choice and there is always the split stay option.
POR is probably my favorite resort and while I haven't stayed at AoA, I have stayed at the other four values (Music and Pop several times each) and a value could never sway me over POR unless I really needed to save money.