Simultaneous breaking of inversion- and time-reversal symmetry in Josephson junction leads to a possible violation of the I(ϕ) = −I(−ϕ) equality for the current-phase relation. This is known as anomalous Josephson effect and it produces a phase shift ϕ0 in sinusoidal current-phase relations. In ballistic Josephson junctions with non-sinusoidal current phase relation the observed phenomenology is much richer, including the supercurrent diode effect and the magnetochiral anisotropy of Josephson inductance. In this work, we present measurements of both effects on arrays of Josephson junctions defined on epitaxial Al/InAs heterostructures. We show that the orientation of the current with respect to the lattice affects the magnetochiral anisotropy, possibly as the result of a finite Dresselhaus component. In addition, we show that the two-fold symmetry of the Josephson inductance reflects in the activation energy for phase slips.