1" is definitely acceptable, however, for your peace of mind and because of what you allready mentioned above, talk to the pool store / builder, put it in writing so you can have something to go back on and then wait it out over the winter, frost will do your final settling and you will be able to make your decision come spring time.
I don't think you have much of anything to worry about, it doesn't sound like they built it up much on the low end.
I built an entire 1.5 foot high pad for my pool using fill because of potential flooding issues where my pool sits, however, I let that settle over the winter before I prepped it for the pool - makes a difference.