Mostly, like I said, for ILs, but I was wondering why there aren't listing for specific teams as opposed to just generally. I imagine it's just because there's not much need for them since they'd be empty, but I feel like they'd be really good to have and might incentivize lesser used teams like Amy+Knux and Cream+Tails and stuff. I know the ILs use the Lead+Partner tagging, but this could just a bit more helpful for organizing purposes.
The IL leaderboards are already bloated and a pain to navigate in the first place, so no it would be absolute garbage for organizing purposes. No need to have 20 categories for over 28 stages when nobody's realistically going to run them - best to just let people run whichever team they prefer the most for each specific stage.
If you want a leaderboard for every single team for every level, then you should provide a video of those >500 ILs to prove that there exists a demand for it. Until that happens, it's not happening.