Are you saying that anyone injured should then pay for their treatment? I'm not saying that, All I'm saying is that charging these drunken people in much the same way that RTA victims are charged. As others have pointed out, alcohol abuse at weekends, is self inflicted. RTA's are not self inflicted, but victims are charged for their treatment, so there's no argument from me about charging drunks for having their stomachs pumped.
In fact, take your question to it's logical conclusion, then what your really saying is "Everyone should be charged for any treatment." In which case it's goodbye, farewell to the NHS. (and before you ask,,, there's a whole world of difference between a sportsman injured, playing his chosen sport, and a drunk who needs his stomach pumping/emetics/treatment for the effects of alcohol.