Mate you are weirdly defensive, no one is drawing character conclusions about Superman the video is specifically about modern day portrayals of superheroes he makes it clear like multiple times.
The punisher self appoints himself as judge jury and executioner that is very much fascistic, maybe you are not exactly clear of what fascism is after all.
In my opinion Cops like the Punisher because they see themselves as above others (the core tenet of fascism) as enforcers of the law who sometimes have to go beyond what's allowed to ensure safety of others and a lot of them have racial biases to put it mildly making them more than just fascist adjacent.
Now since you are only familiar with the Thomas Jane version that's just a revenge story as you yourself said, I'd recommend checking out Daredevil, In season 2 Punisher comes in and then there is an excellent Punisher standalone series on Netflix, where the first season is better than the second.
Now since they want the character to be likeable he does stuff like fucking up a pedophile because well who is gonna have an issue with that. But that really is just a few steps away from punsihing black and other minority criminals which is what cops see themselves doing.