The "are superheroes cops" discourse annoys me because a lot of the discoursers show zero understanding of the difference between statist and non statist violence.
The state is the institution that has a monopoly on the legitimate use of violence in a given territory. State violence is so normalized it often ceases to be seen as violence, e.g if a civilian takes someone off the street by force, throws them in a car and holds them hostage in a secondary location that's kidnapping, if a cop does it it's arresting.
Cops are not simply "people who do violence" they are people who hold a monopoly on the legitimate use of it and commit statist violence to uphold the power of companies and the government. In contrast, vigilantism is non-state violence that challenges this monopoly, at least in theory, but in practice it depends on who vigilantes target and what methods they use.
If vigilantes work with cops, target only people who the state targets and send them to jail then they are functionally state operatives and are acting as a paramilitary wing for the police.
This is why so many heroes seem unaware of their status as criminals. They lecture their enemies of the evil of crime while committing the crime of vigilantism because while they might be law breakers on paper, they aren't in practice. They are implicitly authorised by the cops they work with.
If they instead target people not on the basis of whether or not the state likes them but based on their own independent morality and do not collaborate with the state at all then they are non-state, and if they actively defend people against state violence then they are anti-state.
Of course, most vigilantes don't fit 100% into one of these categories, like most things in life, this is a spectrum and where they're placed can change over time. This is more of a framework that you can use to figure out how much of a cop a vigilante is being at any given time.
I say this because too often I see people say that all vigilantes are cops and equivocate all violence as one in the same or draw the line based on whether or not the vigilante kills when it actually has no bearing on whether or not they're a cop. A cop who hasn't killed (yet) is still a cop and an anti-state anarchist doesn't become a cop if they kill one.