Because the creators determined who the character would be and how people would portray him for so far 80 years, in stark contrast to a very brief portrayal by a very small team.
It's irresponsible to draw a character conclusion from such a limited sample.
And while agree that punisher is not fascist, I disagree that he does things fascists want to do and acts in a way fascists like to act.
He's a symbol simply because of his violence. Cops have a license to bully and use violence, and while the punisher does not, police officers can't imagine a world where you don't have a license to commit those kind of crimes, and so they falsely empathize with the punisher.