lets look at this realistically
in this game of interblag dotballs, if it's a meme, it's a team. i've seen teams named after breakfast cereals, muppets, secessionists, quaint and curious local spouse-transporting customs, pokeymans, artic tigers, and venereal disease. the question is not "if" a cobra kai would spring into existence - it was simply a matter of "when."
thus one can compose thought excercises in which there existed a team named cobra kai that was not comprised of the current group we know as the kai (kai prime, if you will). in truth, throughout all possible worlds there could be any number of 80s movie fans who could have taken on the moniker in question.
now, would any of these teams (the quantum kai, if you will) have been as needlessly antagonistic as kai prime? possibly. would they have achieved the same relative level of success? who is to say? the only constant, the known variable to be faced by all of these quantum kai is the neccessity of an answer to the ubiquitous question:
Why exactly did you name your team after the chumps who got beat by Ralph Macchio, anyway? Scrawny, skinny, hopping up and down on one leg Ralph Macchio even. What, was "The Biff Tannen School for Comically Inept Villainy" taken or something?
As long as an answer to that question can be manufactured, then a cobra kai is an inevitabilty.