Personally, I would think that having to record wins and losses as people play in whatever order they want is much easier than recording wins and losses in a defined order and then have to figure out who advances.
Really, how could it be a huge problem? Let's say at the next tournament, Bluezee plays Spin-Sonic (with IKMV as judge) and Spin-Sonic beats Bluezee during free play. Bluezee, Spin-Sonic, and IKMV would tell Cye that Spin-Sonic beat Bluezee and he would just simply write it down on a piece of paper. Not so hard.
Really, how could it be a huge problem? Let's say at the next tournament, Bluezee plays Spin-Sonic (with IKMV as judge) and Spin-Sonic beats Bluezee during free play. Bluezee, Spin-Sonic, and IKMV would tell Cye that Spin-Sonic beat Bluezee and he would just simply write it down on a piece of paper. Not so hard.