100% useless and no intrest of research, big waste of time
Because this would be 1000% be gamed, by buying cheap human ressources from underdeveloped countries or Amazons Mechanical Turk or using botnets forcing the owners of the infected machines to solve these HI-tasks.
I think you have a good point, maybe any HIT PoW protocol could be gamed. But I am not convinced it is a lost cause. Yes, it would be vulnerable to cheap labor. If a game like Go was used, IQ and skill would be very important. POS could be combined with a HIT based PoW.
Maybe the key would be to make HITs as difficult as possible. That means that they would need to be fun. And to prevent the system from being gamed, HITs might need to be a part of a larger mathematical problem solution (so maybe collusion/"sybil" attacks could be detected at a low enough level).