"Explicit construction of Local Hidden Variables for any quantum theory up to any desired accuracy"

https://arxiv.org/abs/2103.04335

Regarding unfalsifiable, from [0] "If engineers ever succeed in making such quantum computers, it seems to me that the CAT is falsified; no classical theory can explain quantum mechanics." By "such quantum computers" he means computers that can run Shor's algorithm. "...but factoring a number with millions of digits into its prime factors will not be possible – unless fundamentally improved classical algorithms turn out to exist."

[0] - https://arxiv.org/abs/1405.1548

Now, this does not mean these theories are ready, but they are being worked on.