I think this might be the case. The one house we have found is deep and far out on the MCBH and as far as I know, me and my group are the only ones who know of its existance. After cleaning the hole twice we have decided to let it rest and replenish.
The theory is, if it takes 5 years for the menpachi to colonize the hole and grow to reproductive size, you'd have to take no more than 1/5 of the fish in the hole every year. If you limit yourselves to that, and nobody else visits the hole, it should last indefinitely.
If there are other menpachi holes nearby, it's possible that other fish might move in so your impact would be less. If it's the only hole in a wide area, those are probably the only fish that will live there. Some reef fish migrate a lot, but from my experience menpachi usually stay close to home. You'll see the same fish in the same hole for years sometimes.
I know from experince on Nshore that the aholehole are plentiful in every hole in the springtime but as the summer progresses the holes become more empty and the next spring they are replenished. This leads me to believe that they must move from open sea into the shallows and/or they must change holes fairly often.
Aholehole are different from menpachi. For one, they grow faster - IIRC an edible size aholehole is only 2 or 3 years old. Also, they travel a lot more; unlike menpachi their holes are only temporary homes. They roam around a lot at night, and tagging experiments have shown that they can travel several miles over the course of their lives.