Reddragon might have better answers on this being in GA, however, this is not a good impression. Each State has it's own laws and I don't know GA so I can't comment to their laws. With that said, what I am being taught in VA is that it is the job of the PI to collect information for a client. If there is probable cause of felony criminal activitaty, that information must be given to LEO's without giving out the clients info unless the client gives the ok (I think that's right - have my ginal test tomorrow so I will double check after dinner).
Since it seems the woman was not his client initaitily, a prosecutor might be very upset because she could have been involved and now she can claim she helped in the investigation. Certainly gives the defense the opportunity to claim she was the ring leader and only helped after learning of the crimes being caught on camera. In regards to the issues of taking the person into custody that depends on GA law in regards to arrest authority and felonies, (especially since he was on private property, but when he jumped out of the window, it appears to me he is on public property) but a PI really has no more power than a private citizen in VA other than being allowed to basically stalk. Someone will correct me quickly if I am wrong on that part
I suspect sadly it might be real, which will ruin the lives of a lot of people if all the rules are not followed. Also, in some states, to be a canine handler, you must be licensed (Again, Reddragon might know GA laws on this part). I have a post coming up that some should read if they are smart as this board helped me with my practicals.
They have no special authority or power.