(If you're interested in what I'm currently doing with it, I'm playing around with Mathematica's neural network library.)
Mathematica (MMA) and the Wolfram Language (WL) used to be the one and the same. But now a user could be using WL in a web based notebook, through Wolfram Alpha, or even on SystemModeler.
The brand name “Mathematica” isn’t going anywhere, not after nearly forty years. It’s basically marketing being like “how do we communicate updates to WL as not just being updates to MMA?”.
But it’s not what it used to be. Now you don’t “run” Mathematica - you “access” it running another program. It’s basically marketing to weaken one brand and strengthen the other.
“Upgrading from Mathematica to Wolfram”
https://reference.wolfram.com/language/tutorial/UpgradingFro...
NN in Mathematica is a just a toy and artifact of a bygone era. Try HuggingFace https://github.com/huggingface/course
or Karpathy's intro https://github.com/karpathy/nanoGPT
I suspect that Wolfram is the bigger name ever since Wolfram Alpha has been a thing. I'm sure way more people interact with that than Mathematica. Besides, as far as I can tell, it's still named and marketed as Wolfram Mathematica, not really sure where you got the idea it was renamed.