the question is literally, ARE YOU RESPONSIBLE FOR KILLING SOMEONE, either by action or inaction

Consequentialism says yes, deontology can say no, depending. Consequentialism is the superior system of ethics in theory, because of course you shouldn't do "YOUR DUTY" if it leads to crappy consequences. But deontology is superior a lot of the time in practice, because the person who says "just don't piss off the fairies bro" often gets better consequences than the guy who uses his galaxy brain to compute a Bentham integral over seven-dimensional utility space and arrives "rationally" at the conclusion that pissing off the fairies is the optimal action.