What are some video games that do not actually have that much story on their own, or even have barely reference to any stories but have other forms of media like books, cartoons, comics and other shit like that that talk about their stories and lore? This is probably the best way of making you attached to the characters of a multiplayer game that isn't an MMO without breaking it's status quo and Team Fortress 2 does this exact thing.
On one hand I like to look through all of those materials myself, but on the other I sometimes wish that they would just release a fucking game that tells those stories. If the people behind them really don't want to kill, or solve the story arcs of the characters you play us, this might also unfortunately make the entire storyline feel like it's stuck in perpetual status quo that never moves forward. Surprisingly though Team Fortress 2 didn't have this problem as it actually resolved it's main conflict in the comics.