The 5712/1A-001 is thin at 8.52mm? however I was admiring it the other day and rotating my wrist it ever so slightly and came to the conclusion that although it's thin it has significance presence in the dial, the case shape, bracelet design and simply the overall package. Meanwhile it slips ever so easily under a sleeve. Chunkier Nautilus models like the 5980/5990/5726 stand on their own - such as with a short sleeve shirt in Miami or Med beach towns. I've always treated my 5712/1A as more of an elegant option with suit/jacket/smarter sweaters.
Best,
Robert