The reason that increasing numbers of aircraft have flight envelope protections (starting with stick pushers, decades ago) is to protect against inadvertent approach to potentially catastrophic flight regimes. In general, pilots may encounter the flight envelope protections because:
1. They have lost awareness of the aircraft's attitude, flight path and/or energy state for human factors reasons or incorrect flight data, or
2. Upset due to an external influence.
In Case 1, de facto the pilot probably does not understand the situation. Providing a 'shiny red button' to immediately disable flight envelope protections may very well be the last thing that we should provide, because it is much more likely that those protections are working correctly than it is that they are the cause of the event.
The AF447 report is required reading to those of us flying advanced aircraft. But so is the report into the recent RAF A330 Voyager tanker upset, caused by a loose object pushing the stick full forward. In the latter case, the captain, at a loss to understand the behaviour of the aircraft, considered switching off the ADRs. However, the high speed protection was active at that moment and protecting the aircraft. Had the ADRs been switched off, or a 'shiny red button' been used, the aircraft would almost certainly have been lost due to grossly exceeding design speeds.
Be careful what you wish for, and remember that those devising emergency procedures and OEBs had much more time and information to come up with the best response to such events than a pilot would have in the unlikely event of such a malfunction.