Maybe, but I don't really understand why. Obviously she'll be under continued scrutiny, but surely "we uncovered one of the Equalists' main suppliers of weapons and have him in custody" makes up for a lot of getting fooled by a fake snitch and ambushed? Having her officers kidnapped is embarassing, but Tarloc can't exactly object if she makes it a police priority to get them back, and the public is way less likely to care about that than about the definite and obvious advantages of having Sato in custody.

Though it is pretty funny to have Lin go off the rails in ep 7 after all the meta here about how much more establishment LoK is than TLA. (Which is still true, but less so if Lin actually goes for it.)