@nischt: you can just eliminate a part of davening because of tircha
minyan already skipped pesukei d’zimra. There are numerous recent teshuvot for COVID about it. One teshuva offers a klal: you can skip some parts, but it should not be so short that it just feels like it just touches the main points: shma -> shmone esre -> aleinu.
you may be right whether this is “tircha”, I see that you and RebE started a scholarly debate. You can call it tzaar baalei chaim. People were freezing. Some people may go over their limit of cold without realizing it. Especially, American city youngsters.
rebE – there was no issue of getting up. Nobody was sitting for a long time (first sign that they were cold). Maybe I had a choice of saying all kadishim faster than you can say Mississippi, but it seems I feel the same way you do: when there is a strong reason to skip, just do it firmly.
L’Maase, I once observed a Rav, who is proud of slow davening, going super-fast and skipping one kaddish (in Sephardi nusach). Then, doing some tehilim slowly. I asked – he said the 10th told him he was about to leave for work.