I am not sure what you mean... Underwater buoyancy is anything but intrinsically unstable once it has been mastered. And one shouldn't be doing 100m dives until that is the case.
Edit: on retread: I see the explanation is that addition/subtraction of gas is required. I would disagree that makes buoyancy intrinsically unstable, rather that it simply requires buoyancy to be managed.
In the technical sense a diver is unstable in that with no controller action they go up or down. Divers learn to stabilize the system with breathing and bcd. Once trained the closed loop system is stable. Since the controller is tuned with practice it is a type of neural net.