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Not broad enough. When “gamers” say that something is political, what they mean is that it contains politics they disagree with. The ones you cited just happen to be the things they easily recognize because their favorite right wing grifter is raging about them 24/7.
As you also said, they usually don’t have the media literacy required to recognize more subtle political messages, which can be pretty funny. I remember when Disco Elysium was first released and they were very confused because it contains some actual, pretty deep political reflections