Hi. I haven't watched the run for this yet, but I might be able to provide a little more info for standardizing these kinds of games.
As discussed so far, Monster Rancher 1 and 2 have a special feature that allows reading from arbitrary discs to create a monster. What's actually read from the discs has long been studied, and while accurate information is out there, a lot of inaccurate stuff is out there too.
A while back I spent some time reverse engineering the monster generation algorithm in Monster Rancher 1. It was pretty straightforward, and used only a few values from the disc TOC. I used this, as well as some data tables in the game, to create a program that generates arbitrary monsters with appropriate stats. You can find it here:
https://github.com/OmnigamerSDA/MonsterMaker
Monster Rancher 2 uses slightly different values from the TOC, but still functions in mostly the same way. The stat seeds, monster breeds, and subbreed tables are also currently unknown, but that's fairly straightforward to find. The game has more caveats - a number of breeds are locked right from the start, and others require larger barns and other ranch buildings. This just means you can't access all of them from a fresh file though.
In any case, for future submissions, I would recommend using these generated ISOs instead of mandating specific commercial discs. There's no equivalent Maker for MR2 yet, but it shouldn't be too much work to develop. I just don't have the time to put in on it for at least a couple months.