That typically requires an officer to determine if a life is actually at risk because of the dog. Call me crazy, but I don't think anyone who interprets a Chihuahua as a life risk needs to be serving on a swat team.
Our Chihuahua that's abnormally strong strong from steroids because of her Addison's disease has trouble getting out from under a weighted blanket.
Yeah, they can be loud assholes and they can break skin when they bite, but they can't take a squirrel in a fight. They're far from a life-threatening danger to armored kill teams.