The divers who do not carry a knife or some kind of cutting instrument, are the same people who don't have a spare tire in their car, no first aid kit in the house, no spare car key, no fire extinguisher in the kitchen, no extra tank valve orings and no common sense! They're also usually the first ones to yell for help!
The excuse of "well, I have never had a need for a knife" is ridiculous. That's like saying "well, I've never had a need before for a reserve parachute so I think I'll just leave it on the ground". If you need it, it's to late to wish for one!
I have a small knife on the front of my BC (Horse collar yeehaw!) with a line cutter strapped next to it. Then I have a full sized knife strapped to the inside of my calf. (If it frightens you, stop looking at my legs!!!)
If a diver does not carry a knife, fine. I don't care in the slightest degree. I'll keep my opinions to myself at the time. Even if I do think it's stupid, ill advised, Pollyannish, poorly trained, ignorant of the dangers, etc. etc.
Don't worry though. If I see you wrapped up in that old anchor hawser whittling away at it with your wimpy little line cutter, I'll use my humongous scary big friggin' knife to cut you free!