It's not like that. He's just an idiot. The raison d'être of the national lottery was to support sports and arts. The situation in Britain where 50% of athletes in the team come from the independent sector is lamentable, but that is basically down to the poor state of sports teaching in the state sector and the lack of talent spotting. I wish it was better than that and everyone had a chance of competing in the Olympics, but the way we have it now works, Team GB are having their best ever games because of lottery funding changing the formula to please some idiotic political agenda would be a disaster.
The key is to improve sports in state schools, not to hobble funding for people that make it far enough to compete. I'm not sure how it can be achieved but I hope they can figure out a way, 220 playing fields sold since 1999 is surely not the way to go about things though. :/