So according to theory Carlin was probably LSI.

You can generate multiple other ways LSI could operate in similar situation (so called wiggle room).

If I have understood correctly you have also studied physics. If you have went into Lagrangian stuff you have probably encountered multiple pendulums and such which are chaotic (but deterministic) because even small change in initial conditions generate vastly different behaviors. This is the analogy which might generate various reactions in certain someone because I'm not aware of all initial conditions.