Why would flight crew fail to professionally communicate for several minutes during these incidents?
They are struggling to find the right words / phrases for situations they do not even fully understand? We also had incidents/accidents where the communication with ATC did not work at all, because they were unable to cover an exceptional situation with standard phrases.
Some of the standard terms (e.g. Stall) are just to simple to cover all the real situations that could occur. Also the up/down discussions (meaning nose up/down or climb/descend?) are sometimes dirsturbing...
To understand "push the nose down" if your colleage screams "we are going down" is beyond typical human brain capacity (your brain would think "up" not "down" in that case). The same is with negation, never scream "don´t pull" at somebody, scream "push". Our brain is poor with the opposite of words heard, our brain is designed to identify, not to exclude something.
Unfortunately human factors is not yet an independent science, it is covered by a lot of different disciplines these days (ergonomy, neurology, psychatry...), they do not produce a lot of output useful for aircraft designers or training programme providers yet.
It is almost impossible to fix that issue, as long as there are different mother tongues on this planet and crews are international.