The "shouldn't" can be ignored when the hospital is at 100% capacity; when in crisis, things no longer happen as they "should". Even more so, some "shoulds" must be ignored, or you'll have patients queuing up outside the hospital.

Unvaccinated people literally have smaller chance of survival.

Whether vaccination status is to be included in the triage point score is an ongoing debate -- it currently isn't: https://www.denverpost.com/2021/11/21/vaccination-status-col...