Look out, we've got a badass here.
No, seriously, Pure Utility Bullshit works as long as everyone involved has precisely the same needs and requirements as the others. When they don't, Purely Utiliarian thinking ends up creating atrocities because the Rational Move can get exploited, you realize this and start taking Reasonable Steps to minimize your losses, and then you have the Imperium after going through this for 12,000, 15,000 years, at which point they've effectively been ground down to always hit the "Do the Easy Thing because if I do the Right Thing I'll be punished for it". Better to be killed and eaten then become Just Another Supervillain faction.
And sneering and calling everyone "Sanctimonious" for going for it despite it being hard doesn't say good things about you. Triage doesn't work the way you're saying it does. You try to save everyone you can, and the ones who are the worst off get the most attention. You don't stab the orange tags so you can spend more time tending to the yellow tags because the yellow ones might have their condition worsen if untreated, and the orange tags will require aid. Better to just mark them off as fatalities rather than try to save them, huh?
The only ones you leave alone are the people who are actually dead, or that there is no hope whatsoever of saving something of. The people who have lost their frontal lobe but somehow haven't stopped breathing yet, or the people who've lost half their blood and are still bleeding profusely. Triage is about sorting out the No Hope causes from the people who need your full attention, not about just cutting off those who'll be hard to save so you can improve the odds of those who are only moderately injured, and identifying the people who'll keep until resources are freed up.