I would agree with that. I would hope that I would respond to others being attacked. Why else carry?
The primary factor would be whether I was alone or with family. Family comes first, so I wouldn’t engage if I felt it would endanger them more.
How would it affect your family if you were killed engaging a nutcase? #1 They would lose the one person who makes it a 24/7/365 responsibility to protect them from all harm. Who is going to step up to fill for you? Do they have your skills and experience?
I advise you to reconsider.