Okay, this is really sounding fishy. As stated before, every state in the US requires anyone employed and on duty as an EMT regardless of level to be under medical direction. Can I state New York's specific statute on it? Not right now; but I'm certain you could find it. This is standard info taught to every EMT and it shows up on NREMT's exam. The fact that you're asking in the first place leads one to question whether or not you are an EMT.
Next, you keep asking for citations from statute, case law, etc. to back up what we have said. Like I said, EVERY ONE of us is taught the answer to your question in basic school. You use distinct legal terminology here, making me question that EMT certification further - these are not terms we would throw around when asking about this and no EMT I know of would even ask the question except once back in school. I suspect an ulterior motive here.
Finally, a bit of quick of google-fu turns up a Sean Malone working as a lawyer for the Kirkland and Ellis LLP law firm, which happens to be in New York. Interesting, considering your terminology, insistence of proof by case law, and the fact that your profile here is only one day old and all of your posts are in this thread.
I could be way off base, of course, but the s/sx suggest I am not.