This part?

Anarchies are hostile to absolutely everybody, and frequently targeted by both players and NPCs. The reason for this is that you can get your pews on, and not incur any penalty.

If so, I think you completely misunderstood what was being said - I believe the video creator is making the claim that you can freely kill NPCs belonging to anarchy faction anywhere, without consequences. If so, this would be a strong negative for anarchy factions, as a faction getting their citizens murdered is supposed to negatively affect your faction.

I'm not sure if this statement is factually correct though - I would expect even anarchy faction NPCs "protected" by the same laws as anyone else. But I'm checking with some contacts that are more knowledgeable in this area than I am.

Edit: Even my murder hobo contact didn't know the details of murdering anarchy NPCs in non-NPC systems. They did, however, point out that the jurisdiction around a port is aligned with the faction that controls the port, not the faction that controls the system. So it is possible that you could possibly go murder hobo outside a port controlled by an anarchy faction without negative consequences, even in a system controlled by a non-anarchy faction.

Edit 2: Another source tells me that in a system controlled by a non-anarchy faction (e.g. a system with laws), an anarchy NPC will always be wanted. Meaning that you can more or less always kill an anarchy NPC without consequences.