Lots of false equivalencies here...for starters, to be lethal, knives require a lot more investment in intention and motion....that and knife blades don't go through walls. There is a threshold that knives just don't pass compared to a pistol.
And no one gives any drug at the request of the police...what they give is 100% on them...
...finally, when an ambulance hits and kills anyone in the course of a call or not, the circumstances of the accident is investigated and blame assigned.
That said, routine arming of EMS personnel is way more trouble than it's worth....IMO
While a bullet certainly has the ability to travel further than a knife it isn’t really as far as most people think. Particularly with typical rounds used for concealed carry there is a relatively low velocity to start with and a high ballistic coefficient. While they certainly remain lethal for a significant distance, they are not lasers.
That being said maintaining retention of a knife during close combat is more difficult than maintaining retention of a firearm. It is also much more difficult to use effectively to end a fight quickly, but can easily make many wounds that take an extended period of time to be lethal should the knife be taken from the carrier and used against them.