The answer is rather simple.
Amendment to ICAO Supplementary Regional Procedures Doc 7030/4 - EUR changed somewhat about three years ago.
Now: (EUR, Part 1 Chapter 6)
6.1 Emergency Descent Procedures (supplement to PANS-ATM, 15.1.4)
6.1.1 Actions by the P-I-C
6.1.1.1 When an aircraft operated as a controlled flight experiences sudden decompression or a (similar) malfunction requiring an emergency descent, the aircraft shall, if able:
a) initiate a turn away from from the assigned track or route before commnecing the emergency descent
b) advise the appropriate ATC unit ASAP of the emergency descent
c) set transponder to Code 7700 and select the emregency mode on ADS/CPDLS system if applicable
d) turn on all exterior lights
e) watch for conflicting traffic both visually and by reference to ACAS (if equipped) and
f) coordinate its intention with the appropriate ATC unit.
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That is why the new SOP with new aircraft ask you to turn-pull-turn-pull-pull, right?