Gurdjieff connects this type of breathing with yogi breathing.
It's a yogi trick of some sort.
In this picture he is performing his famous Yogi trick of swallowing a package of needles and some thread and extracting the needles threaded.
Whoever has not abandoned desire for fruits of action and still have self-centered objectives can never become a Yogi or a practitioner of spiritual communion through work.
Origin of yogi
- Hindi yogī from Sanskrit from yogaḥ union yoga
From American Heritage Dictionary of the English Language, 5th Edition