"Influence at distance" is different than "shows information about distant particles".
Hidden variables theories can be distinguished from others by Bell's inequality.
The Aspect experiments demonstrated that Bell's inequality holds in real life.
But entanglement and related things like anyons are fundamentally non-local. Anyonic braiding in particular suggests that reality is non-local.
AdS/CFT suggests that non-locality (rather than non-determinism) may be the correct solution to resolving the behavior of QM; and more neatly fits with relativity than non-deterministic theories.
The article itself starts off correctly saying local realism, but then makes an extraneous assumption that realism rather than locality is incorrect — but that’s not supported by evidence.
Depending on what are the assumptions and the alternatives.
If one goes full determinist everything could have a common (local) cause.