So you want the person with the highest gp(most likely the person who needs pit rewards least) to always get first?? wow what a team player we have here.
Also finishing first is a terrible idea as others have said it encourages people to jump the gun and down the raid before others get a chance.
A real solution would be if everyone who tied got the same rewards since they all put in the same work. Only issue is that opens the door to abuse and having 1 person solo the raid and everyone else put a zero and get 2nd place rewards, then switch the person who solos each time.