This was a bad shoot, but the tactics were sound. Don’t correctly they would have called him out of the house from a distance with lethal cover from multiple angles and then cleared the house.
You cant send people up to the door, as you have to assume the person is telling the truth and has the means to shoot through the door at them. When someone has a gun, distance and cover are your friend.
You then get everyone you can out of the house so you can clear it and assist the victims. That is what any police force in the civilized world would do if they had what they thought was credible information about a murder / hostage situation.
Obviously pulling the trigger in this case was a mistake, but what do you do differently? Everyone is criticizing training in this thread but no one seems to have any real solutions.
It seems not to have occurred to you (and a lot of other people) that yelling commands at people is not an effective way to handle many common situations.
Shouldn't they at least verify for themselves whether there is actual danger?