I think there is a general impression AI will start at the bottom wrung and slowly get smarter. But, it seems to me that Chess and GO are Intellectual games. So, doesn't it stand to reason Intellectual jobs will be just as likely(if not more) to fall to AI first.

It's not about which jobs fall to AI first. It's about the fact that sooner or later - maybe 30 years instead of 20 - they will fall to AI, and when they do, you're going to have 8 billion angry starving people, and you need to do something with them.