Families computed by matrix-symmetric ABPs with polynomial vertex orbits and families computed by matrix-symmetric skew circuits with polynomial gate orbits coincide over a field of characteristic zero, that is, $symVBP = symVS$. The inclusion $symVBP ⊆ symVS$ is the theorem on symmetric skew circuits from symmetric ABPs; the reverse inclusion follows from the characterisation of matrix-symmetric skew circuits by bounded-pathwidth patterns.