One of the things I was wondering about a few years ago is whether intel would attempt to bid on the Sony/MS console contracts which AMD has had tied up for a long time now and would be a dependable income along with reduced software compatibility concerns compared to the breadth and history of windows games. I don't think they got to the point of having a big iGPU integrated to the extent that AMD has had for years though.
Apparently AMD has at least the Sony PS6 contract now.