Who cares about heat score?
Well, NOAA, for instance -- since one of their functions is to decide when and whether to issue excessive heat warnings, and they have found the heat index to be a very reliable indicator.
The entire point of this thread was whether dry heat is dangerous and if people who live in a heat wave in a dry climate have the right to complain about it.
In the U.S., the First Amendment guarantees to all persons the right to complain about anything they choose. People who venture out in extreme heat without taking precautions such as insuring adequate hydration give up their free speech rights when they die. Is how it works.
The only question I posed in the op was "Which is truly worse?"
As posed, the question was a bust, right out of the gate. It's like asking whether the change of phase from liquid to vapor (liquid to solid, vice versa, etc) is "truly" more dependent upon temperature or pressure. The two factors are
truly not separable.
I suppose I could put forth the following challenge. On the 20th of August you have to walk 20 miles in the heat of the day to reach a station with drinking water. You can do this along US Route 190 in Louisiana or along California Route 190 through Death Valley.
Not knowing what the actual conditions will be like ahead of time which would you rather commit to?
Considering that I wouldn't have a snowball's chance of completing a 20 mile trek in either of those places (or anywhere else, for that matter), Death Valley would seem more appropriate. But that's me. If I thought I did have a chance of surviving, I'd be inclined to go with the Louisiana route as long as the rules did not disallow walking somewhat off the roadway. I'd be looking to catch some shade at least part of the time by sticking close to the trees (a notably absent feature in Death Valley), the reason being that the difference in
heat index between shade and full sun can be as much as 15 degrees. I suspect your rules would
not allow that, however, and probably would not allow the use of parasols, straw hats, or any other forms of "cheating", either. Therefore, I'd go with Death Valley again. I'd be less miserable for that early leg of my death march during which I still had the ability to sweat, and once I became dehydrated, I would progress rapidly to hyperthermia, and thence to a relatively quick end. Probably even get some interesting hallucinations out of the bargain.