@Steerminator OMG, THIS.
Yes, the person who I watch play most often has this same issue. I think anxiety in general often boils down in part to poor self-esteem, so that is a factor here. And you end up with either 1-the person beating themselves up for being bad (when they are often actually just learning and are doing fine), or 2-the person blames the game, because the only way they have learned to feel OK about themselves is to outsource blame and perceive something else as Not OK.