I do not wish to be patronizing, but a search of the forum would have found an answer;- the major warning systems have a system of priorities, as above. They may not ‘talk’ to each other, but the warning output is regulated to maximize safety.
An issue of greater concern is that several pilots do not know, or fail to recall, basic training aspects of this technical logic. This weakness might delay a pilot’s reaction in the event of a warning – a hazardous attitude – I know better, or let’s do it this way (because I am reconsidering it – an opportunity for error). These high priority warnings are some of the few which require action without thought.
I do not wish to focus on the individuals, especially those who ask questions. These have a positive attitude; self recognition that something is not known is a valuable skill.
What needs to be understood is why such information is not known. Has someone decided not to teach it (it’s not important), or has the subject been taught in such a way that memory recall is difficult?
Taking a wider view of possible deficiencies in technical knowledge, similarities might be found in most accidents discussed this year, which have involved the pilot–aircraft interface.
Has the industry something to learn?