More likely, complex traits are influenced by gene regulation, which is affected by chromatin structure, but chromatin is just one form of regulation.

Complex traits are more likely just due to many interaction elements (promoters, enhancers affecting multiple genes in a nonlinear way) and the complex feedback mechanisms and redundancy mechanisms.

Chromatin state is completely abolished and recovered (in a non-deterministic way) in egg and sperm, which places some limits on which it can influence inheritence.