The raccoon that kills my chickens also doesn't know the difference between right and wrong, neither do the rats that infest houses, or overly aggressive stray dogs, or even mosquitos. And yet in all those cases we still decide to dispatch them (humanely I hope). And what's the alternative to that supposed to be?
I also think it's important (as you mentioned) to know the difference between someone who had a rooster pop up in what was supposed to be a batch of sexed female chicks, and someone who purposely went out and bought a rooster. If someone's going to buy a rooster I think it's reasonable for us to expect them to understand that the relationship with their flock is gonna have to be different, and if they can't make terms with this then they shouldn't have a rooster. But someone who accidentally had a rooster pop up didn't ask for any of this, and if that rooster is ruining their chicken keeping experience and becoming a real threat I see no reason why they shouldn't be killed. And besides, what else are you supposed to do? To give that problem onto someone else?
That said, I really appreciated your comment it was very informative and well thought out.

And I'm genuinely interested in what you think about this. And I apologize if I'm hijacking this thread.
I don't tend to try to kill predators here despite free ranging. I do understand why people do and I try to keep my views to myself when I read such posts.
I also eat the chickens here; not many, but I'll kill to eat and sometimes to manage flocks, but that is very rare.
The predators strangely help me out with this and I would rather they did the job. My understanding is that is what nature does.
I have re-homed a number of pairs (brother and sister) to people who want to start a flock but want proven health. I can give a 6 generation family tree for some of the chickens here.

In general my objection to some of the content in threads such as this is the view that it's fine to kill one rooster after another, until you can find one that you can control, or one you're not scared of. That isn't really competent chicken keeping in my book.
My other objection is how easily the life of a creature gets so easily dismissed because it's a bit of a inconvenience and requires some knowledge and patience to deal with.
There is a view I often read that states you do what's right for you in your circumstances. It's not a view I agree with.
My view is try to do what's right for the chickens you keep. I doubt many will agree but it is my view.
The accidental rooster is an accident that an intelligent person can see coming. Fifty percent of all chicken hatchings are going to be male. When people excitedly put those eggs in the incubator, or let a broody hen sit, half of what hatches is going to be male when averaged out over time.
It seems that there isn't a worse outcome than to be born male if you're a chicken kept by humans. I don't know what the percentage of males to females is in kept chickens but I would guess it must be 95% female to 5% male, including the battery hens that supply our eggs.
Given the chickens ancestors managed a 50/50 ratio I don't feel any sympathy or empathy for those who get roosters and find that they are not the cuddly little fluff balls they were hoping for.
So, if your original intention is to eat the males that hatch, that's reasonable to me. We are after all the chickens most voracious predator.
Keeping chickens requires both sexes imo. I'm not really the slightest bit interested in reading peoples opinions on chicken keeping who a) just keep hens because they don't really keep chickens at all and b) those who kill roosters because they can't handle their behavior.