Beating a dead horse no doubt, but I do NOT believe neoprene absorbs water. It's rubber. The reason your suit is full of water is because the cloth bonded to the neoprene holds water. My newest wetsuit, a prolimit windsurfing suit, is entirely smooth skin on the outside. Very nice as far as evaporative cooling is concerned because there is no cloth holding water (it is however very susceptible to abrasion).
Many Drysuits have been made of neoprene (like back in the 80's and 90's). They look just like wetsuits, but with waterproof zippers. There are two reasons your suit gets wet inside- because you sweat and because the suit leaks. If your suit has waterproof glued and taped seams and a waterproof zipper, it will let very little water in.
Getting water in the suit is actually a bad thing. The reason a wetsuit has to fit tightly is so that a minimum amount of water gets in. The more water in the suit, the more water your body ends up heating- the less body heat retained.

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