I think that the reaction presented here is a good representation of how divers operate.
Recreational divers may find themselves in certain situations that the alarms maybe considered important. Too fast of rise, low gas, depth limit exposure and so on.
Technical divers have planned their dives from a gas perspective, MOD perspective, computer run deco tables and have built in parameters that they expect to work within.
Most dive computers for the recreational crowd can have basic alarms that can be switched off. More dire issues will not allow to be locked out via insurance of the manufacture or the manufacture themselves.
Recently, there has been a change for technical divers in the elite or very high end computers. I noticed this with Shearwater were it tries to assist the diver in a logical progress to the surface plus have many options for the diver can change. There is also there is talk of an open source computer out of Germany. These units are more selective towards what is important to the diver.
Andrew