after St. Louis police unions instructed officers to publicly display The Punisher's insignia (the mark of a lawless, fascist murderer) the comic book community was quick to point out the stupidity, and the frankly horrifying message sent by supposed peace officers endorsing a maniac. So it's a good thing The Punisher personally confirms he hates cops who see him as a friend… making every cop who "wears his mark" or calls themselves a "fan" look like shameful fool in the process.
-- Andrew Dyce, The Punisher Confirms: He HATES Cops Who Support Him
How fascist he is depends on who is writing him. His symbol is literally a stylized Nazi totenkopf, and while he has never voiced support for totalitarian leaders, his solution to crime - escalating the violence - is consistent with fascist ideology.
People used skulls as a symbol of death long before the Nazis.
I don't see the relation? Not all skull motifs are a totenkopf.
Seems like they specifically changed it in Pre production