John:
Thank you for your response. I have an update: The current owner and I opened up the cable port to take a look at what was going on. We found what is S.O.P. for Hunter - they cut a hole through a cored deck and do not seal the core around it. It appears that this cable port does what it was designed to do which is to keep water from entering the boat. But, because the core is not sealed, over time it wicks moisture into it. In this case the moisture readings are high within a foot of the cable port and fall off sharply from there - generally moving down the slope of the deck.
The core has not been degraded but, as shown in my previous pictures, does register high in moisture content. Once I take ownership of the boat, I will remove the cable port and rebed its fasteners insuring no water is entering the core through these penetrations. Then I will attempt to dry out the core with prolonged, gentle heat above and below the deck. Hopefully I can get the moisture content down to an acceptable level before sealing the core around the deck penetration.
I had a similar problem with my (1996) Hunter 376: Behind the helm station is a removable deck piece which, when removed, allows access to the steering quadrant assembly. There is a removable round deck plate that allows access for the rudder for the emergency tiller. When I removed that deck plate to replace it, dried, ruined coring fell out of the area around the deck plate because Hunter could not be bothered with sealing the core around the deck plate. I was frustrated and somewhat poorer after paying a fiberglass company to pull that deck section up and recore it.
After finding the same problem with a 2005 44AC and a 2007 44DS, I highly recommend to anyone who has a Hunter with this style cable port take moisture readings around it and correct it before it becomes a real (read: recoring) problem.