I'm curious about this profession; what does day trading provide to society?
Market liquidity.
Or so it is said... somehow I doubt your sincerity.
I believe that bitcoin volatility is in part caused by a lack of market liquidity, although there are other factors causing it as well. Bitcoin suffers from low liquidity in exchange to either fiat or altcoins. Day traders, even the bad ones, subsidize the exchanges, thereby making it easier for others to trade coins quickly at a steady price.