It seems to be a more conventional explanation this time around, though I'm not entirely sure of this as the use of the term "hunting" and the mention of an "intermittently windmilling" propeller sound a bit odd to me:
Usually used in the context of a transmission. I had an old Chevy with automatic transmission that would "hunt" right about 35mph. Couldn't decide which gear it wanted, and would cycle between them seemingly endlessly until you added speed or slowed to make the decision easier on it.
Here he's talking about the constant-speed unit on a variable-pitch prop. When you get drag on the props, the shaft speed starts to slow because drag increases torque. A governor will tell the prop pitch control unit to get finer to lower the drag so the rpm does not drop.
So after a quick scan of the section, I'd summarize it by saying, they were getting into a drag regime it (the CSU) wasn't designed for. The author doesn't do a good job of explaining how a CSU works, and might be conflating a few things in the section (he mentions shockwaves across the prop surface blanking it, severely affecting thrust negatively, but that doesn't have much to do with the CSU -- just the drag).
Drag increases as a square to velocity. Here we seem to have found a transonic regime where that CSU "hunts".
The CSU can usually be set to different settings, trading RPM for efficiency. But within some varience, it is given a best rpm for the engine health, and it tries to keep it.
The way it can do that is by fining the prop or increasing the bite to keep the shaft at a constant speed. More drag means more torque, which will slow the shaft speed. Less drag, less torque, and the shaft can spin more freely. There is a governor wants the shaft to stay at constant speed. Changing the bite is essentially how it is done.
Here the PCU is taking the blade to minimums, hence windmilling -- ie, not creating thrust, flat to the incoming flow -- to keep the governor happy with the shaft speed -- because transonic flow is creating too much drag on the prop. Less bite, less drag says the PCU, and it takes it all the way to flat. If it goes flat, no thrust is produced.
No thrust, slower speed, less drag, results in a faster shaft. Well, the CSU quickly says, hey, too much shaft speed and the PCU changes the pitch for more bite.
So the CSU system is caught in a cycle "hunting" for the appropriate blade pitch for that flight regime and RPM setting. Sometimes getting no thrust (intermittent windmilling), sometimes getting small bite which is low thrust. Neither situation good for high-speed flight.
TL;DR -- Basically too much drag at high speed increasing torque at whatever specific velocity to hold the RPM they designed the CSU to hold in the highest healthy RPM setting.