You can't request pillow types and I will say, I thought the pillows at AoA were AWFUL! They felt like scratchy, packing foam. If I ever had to stay there again, I would bring my own pillow!
I like the pillows at some of the resorts. Most of the deluxe and DVC properties have great pillows - supportive yet soft. However, even at the value level, I've never run into a rock hard pillow like the OP wants. I second the suggestion of bringing your own if you can.
I was going to post when I got home that if you like soft pillows to bring one..i have been sleeping on my daughters rolled up blanket they are so hard