Let's imagine that 100 people participated in the tournament, and all of them performed worse than him, meaning they took more than 1000 days. According to your system, all 99 people (except the leader) would receive a zero rating. Did they not compete against each other? And does the player who took SECOND place out of 100 players not deserve a significant rating?
I'm talking about the case where only three people participated in the tournament. One super-monster, and two very weak players. The rest were on vacation. Let's discuss the number of participants in the tournament and when a tournament can be considered a rated one.