In the old days, 10 to 20 years ago, one would ask the cop to lead the way and follow him all the way in.
There is no discretion left anywhere.
In the old days, the cop, one he saw what the situation was, would have said, “follow me” pulled his car in front of the vehicle, turned on his emergency lights and siren and led the way to the hospital. At least that was what they would have done where I grew up. Before they became “professional”.