False reasoning wicky... this has been debated and even tried with no change in the amount of draws. The logic is as follows. A player can not allow the opponent to win 3 points and gain a substantial advantage over the other players. A draw will be even more likely.
In sport as football, the idea works well, as the next day a team has reasonable expectations to win. Not so in chess. Awarding 3 points or even 2 points is not the solution. The present scoring has served well for 100's of years.
Chess games are won when by the other side makes enough mistakes (or 1 large one) and the player takes advantage of them. Professionals will not get reckless, change their style to win the game because 3 points will be awarded. They understand by taking unnecessary risks they become vulnerable to losing. The opponent gains 3 points. The next day a draw is the expected result. Thus the 3 point advantage is out of proportion.
I agree. 3 points for a win and 1 point for a draw. Similar to what is done in football.