(and I'll note that you spent a bunch of time mentioning ultimately irrelevant details. Being homeless, or in an area with feces and urine and cardboard probably aren't relevant to anyone responding. The important facts are that there's a person in need of immediate medical assistance, the area is potentially hazardous, and the person is being uncooperative).
Those are the three things that need to be conveyed.
See? This is the problem. The filtering is more important to some people than actually doing the job correctly.
This is why speech must be free, because I don't want a paramedic who's treating me to be debating exactly how to define me to dispatch. I just want them to save my life.
You're arguing for essentially the opposite of that.
> They're relevant details because they directly affect the health and safety of the ambulance staff
A person being homeless is not relevant to the health and safety of the medical staff. A person sitting on wet cardboard is not relevant to the health and safety of the medical staff. The area being hazardous is relevant, and was conveyed. You may argue that "the area has feces and needles" is necessary to communicate. And that's fine.
> This is why speech must be free, because I don't want a paramedic who's treating me to be debating exactly how to define me to dispatch
No, if this is your goal what you want is paramedics who are well trained in how to communicate effectively over radios, much like pilots are. This has nothing to do with free speech. Restrictions and regimentation on speech in this context would actually make the communication more effective. For example, specific guidance on what things should be communicated about the hazardous area: that feces and needles are relevant but that cardboard boxes and homelessness aren't. This way, there are fewer wasted words.
The tragedy of that is that IATs don't even measure what they purport to or, generally, work: https://journals.sagepub.com/doi/abs/10.1177/174569161986379...
That seems better than "there's a homeless guy with a bunch of needles and feces" in terms of descriptiveness.
Edit: aren't communications protocols a very standard thing among first responders / military / hospitals / etc?
For the record - I checked with them - and they told me they were asked to take a test to check if they harbored "unknown biases". They were then sent to diversity and inclusion training, and came out totally confused about what to do and say, but they were assured that the hospital and the ambulance services were monitoring comms and wouldn't look favorably on "potentially offensive" terms.
Trying to describe a homeless man sleeping on rotten cardboard boxes who is covered in urine and feces with needles strewn around everywhere, who is both asking for help and attacking them is VERY HARD to do without using a term that someone could potentially find offensive.