During times of war and conflict most of the front line people gets burnout related to work, be it from armed forces, doctors, social workers and nurses etc. Apart from the war and conflict very recently we have seen burnout during COVID-19. So we can say that yes social workers do face professional burnout during war and conflicts
Certainly yes from a compassion fatigue perspective, as will other professionals. Maybe less so than front-line armed forces, but this hypothesis needs investigation.
Social workers have become the front line for the pandemic in addition to increasing their availability as human agents during the time of war. Furthermore, with the school and mass shootings increasing across the U.S., and now with the new law against abortions being signed into place, social workers will increase in burnout. So, yes agree, this is an evidence base hypothesis.