Rather be flying - you missed the important bit after "Immediately lower the nose etc" during a cable break
It's "Wait for flying speed to be restored"
- during the pushover from the climb angle a glider can lose lots of airspeed and attempting a turn immediately after lowering the nose is asking for a spin. It's what all glider instructors are watching for when teaching cable breaks.
All the above is probably less marked in a light aircraft efato situation as the climb angle is less and the inertia is greater but restoring flying speed is still key to staying alive, not just lowering the nose.