Sorry for the belated response, I've been thinking about this for a bit before answering because I think it is a subtle matter. I think the reason why I don't go for this 'theoretical perfection' angle is that it takes the fun out of the game. That's where computer programs, cold and emotional will not feel the joy of a win, their programmers might but they might just as well not even be aware of the game being played. The only way to get that feeling on both sides is for unaided humans playing other unaided humans.

The 'perfect game' is something that a computer will one day find, a curiosity but just like a math proof ultimately just a thing waiting to be discovered, not achieved.