Yes, small neural nets would work, because AI has a predictive component. The reason you do not see AIs or real advanced AI type applications out there is because....it would require a lot of money and some serious architecture and programming to create the next generation program. FBI will be spending $475 million dollars to do their case file system called Sentinel. They could easily do such a program...but the prime contractor Lockheed Martin does not have the expertise to add such a ground breaking AI system. No one wants to take the initiative because they are afraid, it could fail...
and imagine, if after spending say $50 million, it does not do what you want to do...it would be bad news. Congressional enquiries and so on...So....you will not see such applications anywhere for a long time....not in DOD, nor in DHS or anywhere....
In AI, there is no such thing as incremental application...either you put the lego blocks together to make one or you do not...no half way that will provide any real value...and it will cost money to put it together.