Games are where we play, and train our reasoning/problem solving skills. Games contains temporal/spatial problems, paradoxes, misinformation and so on and so on. IF this is genuine, then these systems DO have the capabilities of navigating almost any problem we can throw at it, and we'll have to begin accepting AGI as being reached.
That will likely surprise all those that claimed that AI could never be intelligent - or similar claims.
That said, there are facets of life that are not well projected to games. Social skills are mostly in bigger gameworlds, and kindness/cooperation etc are not prioritized very much. Those types of games can oc be found, but most games are about killing and winning on the dead corpses of the other players, and there are a clear 'edge' of games that tries to expand gaming to include other skill-sets (musik-games, 'girl-games', and many other types).
Sucky violent gaming culture we have, imho..
Anyway, even with low social skills and a few skills missing, we are getting really close to AGI, and many will have to adjust their attitude towards the new situation. It'll be interesting..