Do you consider designing for games art requires a different skill set than a painting artist? What is/are different?

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Oh, it's definitely different. There is of course just illustration work which may be more similar to the traditional idea of art that we know, and nowadays is, at least for the main part, used for promotion (posters, covers, backgrounds, box art, card illustrations, etc etc). But the main bulk is either 3D art or Concept art, which has different priorities.

A concept artist mainly needs to focus on speed and variety without sacrificing coherence and putting out multiple ideas instead of doing one good polished quality artwork. So for example, if I'm working on a video game project and as part of it we need to figure out the design of the final boss and the boss room, it's usually never just one or two illustrations that do it. It's more like 2 dozen rough pieces that all focus on different aspects, maybe one speed-painting will get the body shape right, another gets the colours and tones correct, a 3rd will figure out something different like the atmosphere, and so on. 

With a flexible and quick art team that does a few dozen pieces every week, the project becomes really easy to understand in a visual way very quickly. It's how in the end, some of the biggest RPG games that have huge worlds to explore still remain visually coherent and pleasant. The best way to learn the differences and what needs to be done in a game project (from an artist's perspective) is to pick up an artbook of the biggest games and look through that.