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Well, computer games aren't funded because they are art but because it's a business... big games have big budgets... they create synergy effects... improve the location's value... create jobs... generate tax income... and so on and so forth... the mentioned aspects don't play a role in the writers' branch.

True. But that is not different for almost any company. And every company does get some government support for those reasons right now.
But you're right I think, you can compare it with the movie industry much better.