As someone who is one of those players expressing interest in a ban, I think it's more than justified to want something to be done with Baton Pass. I don't think that going with a 100% results based analysis is the way to get anything done, simply because there's a small sample size of people who actually want to use Baton Pass. It's a strategy that's boring to use and play against, is seen in a negative light by the community, takes little skill to pilot, and by definition in the tiering policy;
"Baton Pass was deemed uncompetitive because of how drastically it removed battling skill's effects and brought the battle down to matchup, but it could also be deemed broken because of the unique ways in which you had to deal with it."
I don't think that this definition is any different no matter the gen you look at, but some gens are naturally better at dealing with this which is why I don't think every old gen should look at it
immediately, but the ones that actually have issues with the move should. BW seems fine with all the phazing, hazards, and incredibly hard hitters with few baton pass users for a full chain, smash pass is really annoying but I don't know if it's anything more. I haven't ran into it in oras so I won't speak on that, but I think the big one that should be looked at is ADV (and maybe dpp).
ADV Baton Pass is a special issue, because there was
previously a ban on Ingrain + Smeargle which was
later reversed. I think the reversal decision did make sense tiering wise since it was never voted on, but it also gave Baton Pass a large boost, since before some things like WW Ho-Oh at least had a chance to do something while you could also slowly chip things down with strong leads to try and disrupt or pressure the chain. BP teams would still be good but they would have a few more flaws, and currently in ADV I think they fall under the definition of uncompetitive from the tiering policy perspective.
https://replay.pokemonshowdown.com/gen3ubers-1324860671-l8zvj25fxh8vbskui7aqzmdm06gstiapw
https://replay.pokemonshowdown.com/gen3ubers-1214648329
These replays are me both using and getting destroyed by BP. On lead there's sometimes nothing you can do, as evident by the first replay where the Groudon even got 2 Ancient Power boosts but was just unable to do anything but get PP stalled because I had Ingrain. The second was me more inexperienced with the Mu, but the other major thing when seeing Ninjask is that you don't know what Mu you're facing. Ninjask quickpass exists and like the replays in posts above showed is a solid and tournament caliber strategy. If I try and SD with my Groudon like I wanted to predicting Protect then all of a sudden it reveals a full pass chain I've essentially lost no matter what I do to try. Baton Pass takes so much skill out of everyone's hands and has the same problems it does in the generations it's banned in. I think Baton Pass should just be removed from every tier that exists or at least nerfed to the point where full chains don't exist, but that's a whole site tiering argument that already happened and mime was the collateral of that, not Baton Pass, so for now all I can advocate for is the fact that it should be banned here.
I brought up DPP simply because Baton Pass is similarly stupid there, where you can just win games on preview by Mew passing into a breaker. There's a ton of tools to get yourself set up to the point needed and it can also just turn games into a Mu fish and tons of 50/50's, but I'm not sure on full pass chains there so I think it's just something to keep an eye on for now.
To better the ADV Ubers tier a lot, I think that either the Smeargle + Ingrain ban should be reinstated, or Baton Pass as a whole should be looked at. It has very niche use on Pokemon like Celebi and Umbreon without stat passing so I'm not sure which is the correct way to approach it, but I don't think it's healthy for the tier at all. I dislike having to have this debate at all since it feels like the same points over and over every time BP is brought up, and in the gens people are looking at mostly I think it still falls under the same uncompetitive category it has in recent times. I think the only reason Ubers is lenient with BP is because some things that are uncompetitive but not that good manage to stay in the tier, but I think Baton Pass is both uncompetitive and borderline broken in ADV and at least something should be done with it.
Edit: Seems my dpp take in particular wasn't super agreed upon which is why I only gave it a small mention, but just to reiterate what I mean with it, I'm against stat passing as a concept in general when it can be done well and it's something that can easily steal games. That's just how I see it and I think DPP is probably one of the easier old gens outside of adv to use it from my experience. Not saying it should be banned or even needs a test, but everything regarding stat passing and bp in all gens at least should have an eye on them imo, because BP has proven what it can do multiple times in different gens. The main focus of this argument should be adv, where I do still think at the very least the ingrain ban being re-added is a good call.