Y'know all those cool cinematic video game trailers?
Well, the studio that makes them heard enough of "why isnt there a show with this kind of animation" so now they created an Anthology series featuring IPs from vastly different companies/themes/games.
Playstation got a few episodes about their games (like Ghost of Tsushima) so Helldivers drinking libertea is not out of the question.
To answer your question: You never needed a playstation, just a prime video account
Precisely