There isnt a lot of point in what you are suggesting, as the lower-rated players have a roughly 0% chance of winning the tournament, and so may as well be out in the first round.
In fact, the way it is done currently is better in my opinion, as it allows the higher-rated players (who deserve to get nearer the end) to progress, whereas in the way you're suggesting the high-rated players knock each other out early. (For example, the first and second best players play in round 1. This tournament will end in an anticlimax.)
I've noticed in chess.com tournaments(2 people per pair) that the pairings are done with dividing the amount of players by 2. There is a high #1 and a low #1. Why is that? In almost every case I have seen the higher player wins. This is unfair to the lower rated people.The example below demonstrates the above
Player A:(2500)
Player B:(2000)
Player 1:(1500)
Player 2:(1200)
In the way chess.com pairs up the players Player A would play Player 1 and Player B would play Player 2.
How they should be paired up, is Player A vs Player B and Player 1 vs Player 2.
Can chess.com change this so the tournament is more fair for the lower rated players?