Did you read it (and thw Wikipedia article)? It mentions that both were at the compound. In all the early reporting I read, “Kool Ade” was never mentioned, but “Flavr Ade” definitely was. Saying that “Flavr Ade” is factually incorrect is, itself, factually incorrect.
If we’re going to nitpick, note that the “comet cult” was Heaven’s Gate.
Mind share is great. What is not great is failing to defend your trademarked name. Companies work hard to make sure any official instance of someone using their name recognizes their trademark. Allow that name to be used openly as a generic, and eventually Acme Bandage Company can sell “Band Aids” right next to J&J’s, and they can’t do squat about it.
Named after Xerox, the Greek god of reproduction. 
You’re allowed to sell non-Coca Cola products in Georgia? I never would have guessed. So it’s just Atlanta where non-Coke products are illegal?
I was born in Atlanta and have lived in its suburbs all my life, and have never even once heard anyone ask for Coke when they wanted something else. If they want Coke, they ask for it. Or Diet Coke. Or Sprite, whatever.
And in many fast food places (and some restaurants) when you ask for a Coke they will ask, “Is Pepsi okay?” To which everyone I have ever known has replied, “yes.”
This is one of those points of contention that comes up about genericness of the word “coke” in the South. I’ve never heard it used that way, either, anywhere in the South. However, I have heard on occasion the vending machines referred to generically as “coke machines.”
In one previous thread some years ago, there were two people from the same county (somewhere in the South), with one saying he had always heard it used generically, and the other saying he had never. And so it goes. . . .
Yes, because if all tissue are a Kleenex or all bandages are a Band-Aid, then the store brand or some local brand is also a Kleenex or a Band-Aid. The fact that your product says Band-Aid or Kleenex on it is no longer an advantage.
I grew up in Dallas 50 years ago (in those days Dallas was more Southern than it is now.) My family called any brown soda “coke.” I grew up saying it that way, and sometimes I still say it that way.
So it’s correct that at least some Southerners use “coke” as a catch-all term for soda pop.
That is certainly true here in metro Atlanta.
‘Coke’ is generic for ‘soft drink’.
So, “Coke” is a generic word in the city it was invented. Fancy that. 
Next thing you tell me, “Budweiser” is generic for “beer” in St Louis.
Also, the term “farce” in the title probably doesn’t connote the OP’s implication correctly. “Misnomer,” perhaps, or “historical inaccuracy” would be the idea.
I was expecting a humorous play about the Koolaid tycoon’s daughter accidentally getting married to both Ernest and Julio Gallo at the same time.
Toldja!
In Texas, “Coke” is an all-purpose name for any soft drink.
And any Texan will tell you it’s common to hear conversations like this:
Hostess: You want a Coke?
Guest: Sure!
Hostess: What kind?
Guest: 7-Up
Not if it goes to the extreme. Example: aspirin. “Aspirin” used to be the trademarked name Bayer used for its particular acetylsalicylic acid formulation. But everyone called the stuff “aspirin” no matter who made it, diluting the trademark. Eventually, Bayer lost its trademark in much of the world, where it was determined that “aspirin” had become the common term for acetylsalicylic acid. And losing that trademark costs Bayer money.
So, companies defend their trademarks zealously. If you write an article about someone using a Kleenex, as though “a Kleenex” is the name of the object rather than the brand, you’ll probably get a nastygram from Kimberly-Clark about how the proper term is “Kleenex™ brand facial tissue.”
I haven’t seen that word before. I think I’ll Google it…
The Aspirin trademark was lost in the US as part of war reparations for World War 1 along with another Bayer trademark heroin.
Don’t you mean “Co-Cola”?
They have to ask. If they don’t, then they might be liable for passing off Pepsi as Coke.
Actually, they lost it in France and several other countries as a part of the reparations incorporated into the treaty of Versailles.
Other things that started out as trademarks but became generic: kerosene, dry ice, zipper, windbreaker
The company that made Rollerblades fought tooth and nail to stop people from using the name… it seems to have worked, I see “in-line skates” used most of the time now.