There is the problem that a major fire department ran into about 15 years ago, when they told a responding company to make sure they used "universal precautions" on the call they were responding to. Since "universal precautions", or by that time, "body substance isolation" was an ingrained part of every response, a jury determined that it was a code word to indicate the patient's HIV status, and as such was a violation of ADA legislation that protects people with "socially unacceptable diseases."
In my system, it's referred to as an illness and assigned the type code of ILL1, ILL2 or ILL3 based on the patient's acuity. Dispatchers give out the type code, address, floor/apartment, incident number and time dispatched. All other activity is obtained from the mobile workstation. NYC is supposedly using the same Intergraph system, so I don't know why they have to be so secretive-proper SOP in the first place would make this completely unnecessary.