I would imagine you can play it with any cooperative game.

The types of decisions players make, and the amount of information players have about each other matters. In Arkham Horror, for example, everything is public- in Pandemic, hands don't have to be (although I imagine you might want them to be for this, to make biases easier to spot). In Pandemic, there seems to be closer connection between actions and the endgame, whereas in Arkham there's an element of building up your character that can be independent to winning (for player motivation, at least).

Without some experience, I'm not willing to speculate on what features make a cooperative game work better or worse for roleplaying or noticing biases, but I am confident that some features will be better or worse.