By "solved it themselves" I mean they didn't aggressively engage the public and divulge every last detail as has been seemingly demanded by several people here. They engaged who they needed to engage and went to the public only in a very limited way when they felt it would help, and for what they did, they seem to be very close to solving the case doing it their way, so I don't think there is any reasonable grounds to criticize LE when/if they successfully solve the case, but just not in the way that sleuthers want them to.
I understand that people's motivation is compassion and desire to help, but in these cases I often sense a lot of frustration in communities like this one when LE doesn't engage people's desire to help, which is most often because they know more than the public does and knows that they don't need full engagement from the public at that point in the investigation. That frustration with not being able to help often boils over into criticism of LE, and almost always, it is unwarranted.