I'd be interested to see any mathematical or economic proof you can back that statement up with.
Not sure if serious.
IN case you are serious, assume reinvesting would somehow increase your share of the network. Keep doing that, see what happens. You would end up with >100% of the network. The same logic dictates that if several competing mining companies reinvest their revenue, on average, everyone loses. Well everyone except the network itself. Welcome to the zero sum game.
I'm very serious. I get, but don't accept your argument, simply because not everyone re-invests. In fact your argument supports the empirical pattern we see in other high growth industries of consolidation to the point of only a few mega players being left (Pharma for example). PETA's game is to be one of those final few players.
Edit: I voted 50/50 but would happily go up to 100% to play the long game and be in the final pack.