I am
sure materials nerds (said affectionately, I am a computer nerd) at materials labs at top corporations, like SpaceX are working on this.
Picture this. You're a material's person. You have a collection of each of the elements in the table of elements. You've got a successful career in your field. You've got your dream job working in a materials lab as a scientist or engineer. Along comes this paper, describing a pretty easy process, with things you already have on hand, to create a revolutionary new material that will change the world, if the paper is true.
That person, at SpaceX, Apple, BASF, Google, GE, Samsung, DuPont, everywhere where there are passionate materials people in a lab who just want to believe, is going to do it over the weekend and after hours, just for the fun of it, nevermind Elon. They might not have the showmanship for a Twitter account with millions of followers but they have the lab and the materials and the drive to make it.
Musk doesn't need to setup competing teams, and if he had, would he be forced to tell the general public about it?