Remember, this wasn't ONE department's SWAT TEAM. This RAID was conducted by specific SWAT TEAM members from county departments.
In other words, he took the rookies from each team, and put them together so that just ONE unit or department could not be held responsible, if things went wrong. Also, he could depend on them to be fairly ignorant of the facts behind this raid.
He told them the person in the house (Jose) had been involved in a HOME INVASION with a double homicide.
He didn't tell them that it was Jose's relatives who were the victims of that double homicide.
The entire operation was planned, run and operated by the Pima County Sheriffs Department. It's doesn't matter who was along for the ride.