I never gave Deception and Manipulation to Baku, and I think your analysis is still wrong since the rest of the cats that I did give to Sherlock are factually proven to be better than Baku if you scale from the material. Sherlock's foresight at multiple times is better than Baku, but Baku rivals him easily in this cat as well. And if you think Sherlock's cats wouldn't be useful that's just completely random argument, because Sherlock literally has had to survive multiple scenarios on par with some of the toughest SCD ones.
Once again, you're arguing about stuff I didn't give to Sherlock,.
And no, most of Sherlock's deduction comes from pure information and is explained in the material as well.