I love this Aman as it's so private and quite spectacular if you're a beach-person. Security-wise, it's in an area of Palawan that is further up so less chance of an Abu Sayaf raid as their boats would be spotted along the way by the military. Also, from the last time I was there, I understand that Amanpulo has a very sophisticated radar set-up that can spot oncoming boats (there wouldn't be many, so it would be easy to spot) and a hotline to/ understanding with the local military; as well as it's own security precautions/ heavy-duty equipment in case there is a landing of rebels.
I wouldn't be too worried. Aman has known about this threat since the beginning and I understand they have taken every possible precaution.
PS: Get your breakfast delivered and set-up right on the beach for a great start to the day...