I suspect if a SWAT team, prepared for a dynamic entry raid pounded on your door and you answered the door holding a firearm you wouldn't get a chance to "vocalize your objections", or even ask the people pounding on your door claiming to be the police to produce some identification.
1) Aren't the detaining authorities responsible for the well being of a subject who is in "custody" Isn't that why we feed, clothe, provide medical and dental care, psychological counseling, and legal council to those who are in the custody of the government authorities? Seems to me that once they surrounded the home and denied access, the victim was in "custody". They denied medical attention to a subject that was in their custody.
2) The SWAT officers claim that they did not know the situation inside the house after the shooting, so for safety reasons they did not allow medical personnel inside to attend to the wounded victim. IF ONE OF THEIR OWN TEAM MEMBERS HAD BEEN WOUNDED AND WAS DOWN INSIDE THE HOUSE, WOULD THEY HAVE DENIED ENTRY TO MEDICAL PERSONNEL FOR AND HOUR AND FIFTEEN MINUTES IN THE INTEREST OF "SAFETY"?
Most SWAT teams now arrive with plenty of lights and sirens just to avoid any ID problems.
If you showed a gun, you would probably be told to drop it ASAP. Turn it toward the SWATTERS, “.....Dearly Beloved.....”