Yoshinaga's conjecture on free arrangements

Let an arrangement be called free if its module of logarithmic derivations is free, inductively free if it belongs to the inductively free class, and rigid if its moduli space is zero-dimensional and all its elements are Galois conjugates. In characteristic zero, Yoshinaga proposed the inclusion

$$\{\text{Free arrangements}\} \subset \{\text{Inductively free}\} \cup \{\text{Rigid}\}.$$

This conjecture is stronger than Terao's conjecture because freeness is invariant under Galois automorphisms. The paper constructs counterexamples, so the conjecture is refuted.