FzeroTo me, it's not about reaction to the call, but rather after they are already there. Let's say they get a call for a hostage situation, which is what I understand they came from the video, yet they see no of that when they get there. Why would they still detain the person(s) for time that those officers can see is a lie. It's not like they found any guns, people, or anything to make that assumption, then what is the point of keeping them in jail for any amount of time?
I don't see a need for jail time but even figuring out the situation may take a while. They have no idea if the person at the house really lives there, they could be left behind by the rest of his gang who have already left with the victim, off to rob his buddies. Or he could be in fear of his life after being threatened by a group of people. I've known people who have been robbed in a home invasion and unlucky people who just happen to be hanging out there were taken from that location to their own homes to be robbed there too. Gangs don't give a crap, they will hold you for days and use you to rob other people. And they don't look like gang members or criminals, they look just like everyone else because they know it's easier to get away with this kind of thing. The cops have no idea what they are stepping into.