csgo definitely did NOT show that people HAVE hacked on lans, only that it's theoretically possible in extreme cases (which was always true- people have tried to cheat on lan before, they just mostly got caught)
still, someone having gone to lan is circumstantial evidence in favor of that person overall. does that mean they don't cheat? no. but if they replicate their form entirely it gives them some benefit of the doubt if it's a grey area. context and circumstantial evidence are and always will be used in the case of human anticheat teams. if two players do something moderately fishy but one of them has 50 hours in this game and the other is a well-known invite player the latter will be given more slack. that's just the way it has to be, it's one of the limitations of the system.
it's definitely possible that the admins gave baud the benefit of the doubt because of these facts and still thought the evidence was undeniable. it's also possible that the old ban weighed in their mind and made them more readily accept evidence that was really borderline (or make their decision off an insufficient volume of evidence). personally, I've always been in favor of releasing the evidence of one's decision. I feel like the positives outweigh the negatives. some people might harass the ac admins and say they're incompetent, but that happens if they don't release the evidence too, as people who are friends with the banned person will just assume that they were incompetent anyways. as for not alerting hackers that they're onto them, I think that's pretty stupid reasoning. it's not like there are an infinite amount of super complex private hacks out there. if one guy gets banned for triggering it's not suddenly going to make everyone switch to a different kind of cheat. the cheater's psyche is that they won't get caught, which is why people always will try to get away with it. at best, people using similar cheats will decide it's not worth it anymore and just start playing legit. isn't that victory enough? hell it worked for cookye.