While I don't want to really discuss the state of OU, I think it's fair to argue that BP was incredibly less broken in CAP than OU. Homohawk obviously is a factor in this. Two of the major BP recipients in OU, Necrozma and Magearna, face different obstacles in CAP as well. Being unable to touch a dark type that has 30%+ usage on CAP teams really hurts Necrozma. Magearna has different paths for destruction in CAP and is far more often used on TR or TW (or just generic offense teams) than it is used on BP.
One of the hot topics in the ban was whether or not dry passing even deserved to be preserved. However, many of the arguments relied on stating that only 2 or so low B or C ranked mons in OU were even worth dry passing with. Once again, in CAP this is different, as god Tomohawk itself was a very capable dry passer. As such, dry passing or even just sub passing were almost just as common in CAP as a stat pass. However, banning a potentially annoying move on Tomohawk certainly isn't an "unfair" side effect, and BPless Tomohawk is still going to be a big deal.
All in all, this decision really won't impact much in CAP since stat passing here was never as big of a problem. I'm sure we can remember the beginning on the sumo metagame when spark got an idk 60 killstreak using batonpass, but things have changed a lot since then.
I think, in CAP at least, that the two "biggest" offenders were Pokemon rather than the move; Scolipede (the best passer) and Magearna (one of the best recipients; I don't think Necrozma is as effective in CAP than OU since Duggy can't muscle past Colossoil as easily as it can other Dark-types).
So many of the pro-arguments revolved around avoiding complex bans and just banning the problem itself, which makes me wonder why the thought of banning Scolipede itself really wasn't discussed. How likely would it be that Mew or whatever else could be as effective at passing as Scolipede? Scolipede was easily the most splashable passer. People talked about having complete bans and brought up things like banning Blaziken rather than banning speed boost on Blaziken. The result we got here with Baton Pass is somewhat hodgepodge though when looking at a one-for-one scenarior... rather than banning the broken mon, we banned its broken element. Of course, it's definitely true that other mons have access to this element and that (stat) passing was a destructive force... We've been dealing with baton pass bans for a long, long time, and many of the problems had nothing to do with Scolipede. And what has happened when we've banned the previous broken BPers? Shellsmashers like Gorebyss became unusable in OU, chains became unusable, etc. And still, despite all this, Baton Pass became an effective force in OU and would not go away. Would banning the most splashable passer, Scolipede, have solved the problem or at least significantly reduced it? Maybe. But the chosen path of action definitely solved the problem for OU.
Honestly, minus the part where we literally don't have a banlist of our own, this whole event has made me extremely proud to be a CAPper. We have established our own little metagame that I believe doesn't have nearly as many problems as OU has had this generation or even last. We have a largely stable, fun metagame that is balanced because of our own creations, many of them happenstancely created with no intention of them interacting with each other. We solved the plague of baton pass with a priority hazer, we solved the wrath of Megagross with solid bulk from mons like Cyclohm. And who knows, if we keep building for our own metagame, we can making keep solving problems rather than creating them.
Now, I'm honestly unsure how some of our impending updates will play out... maybe we've ruined some of the stability by shaking the tree too much. I have greatly treasured our old metagame's resilience through the ages and I'm curious to see if we can keep it going.