Why can't multiple runs from the same person be on the leaderboard. Shouldn't it be a collection of the fastest times ever achieved. I don't think my old times should be erased just because I got a new faster time. Those times would still be on the leaderboard. In reality I should have the 4th, 5th, and 7th fastest times I think. All these runs have been verified, but only my fastest one shows up on the leaderboard. This makes the leaderboard an inaccurate representation of what the top times actually are. Unless it is a collection of top players, not just top times. Still, I think all my times should be able to be found somewhere.

Thats a common misconception of speedrun.com. We dont delete runs, so all of the verified runs are still valid, but the board only shows the best time achieved. If you want to find them, there is a filter. Then from filter you go Obsolete Runs > Shown. This should show every verified run.

I feel like the leaderboards are there to show the fastest players rather than the fastest times. This means that where you are on the leaderboard reflects who is the fastest speedrunner.

While you have the 4th, 5th and 7th fastest times, you would not say that that you are the 4th, 5th and 7th fastest speedrunner.

This is different to high score leaderboards, which often list every top score even if most of them are by the same person.