If the person operating the vehicle doesn't need to be aware of the difference, then the general public shouldn't need to either when analyzing an accident.

It seems baffling to me that we could imagine a scenario where it's less important for the driver of a vehicle to be aware of the difference, than it is for the public when reacting to a news article.

I don't think you get to have your cake and eat it. Either there is no relevant distinction, in which case the "well actually" response that "it's not FSD" seems unnecessary, or the distinction is important, in which case it seems problematic that drivers would be confused about it.

If the end user said they were driving on FSD, it likely means they are enrolled in the FSD beta and were using autopilot - in the car there is no distinction between autopilot and FSD. They are the same thing in the car if the FSD beta is enabled.