That is an interesting point about the beach pool, Dave...that is also what I noticed on the Allure. We didn't have too much trouble finding chairs near the beach pool and if we waited for a while, we usually could upgrade to a better location as people left.
On the last sea day, I actually went down at 8:00 am and parked myself in a chair right next to the pool, then recruited two of my daughters to alternated sitting in the one next to mine. Then, as the day went on, between my group of 6, we always had a couple of nice seats to sit in. I met a few great people there those last few days and actually had some stimulating conversation.