Well, i am a coder myself, but i think both coders and game designers are crafters rather than artists. I do not mix them up. Infact, a game designer combines mechanics and makes concepts, and a coder implements the mechanical part. But even if a game designer creates a concept, it is not art he creates, but simply a blueprint for how the mechanic has to be implemented. A blueprint is no art. Game design decision are based on many different scientific results, are based on a (most time given) design philosophy and utilize psychology to actually create mechanics which engage the players.
But nothing of that actually is art. I, as a coder, am no artist. But a game designer also is no artist. A coder implements the mechanical part. An artist implements the art a game designer needs for his game design decisions. Well, that is, if you have team roles. If you have no team, sure, sometimes those roles overlap. But lets talk about the industry, and not about small indie studios.