Order independence of equal-rank superquiver partition functions

Consider a superquiver gauge theory whose gauge nodes are supergroups of equal rank. Fix the signatures of the NS5-branes, and denote the resulting partition function by $Z$.

Equal-rank order-independence conjecture. The partition function $Z$ does not depend on the order of the NS5-branes. In particular, the resulting partition functions are related to the underlying superalgebra structure of the quiver.

This conjecture predicts that, for equal-rank gauge nodes, the partition function is determined independently of the ordering of fixed-signature NS5-branes and reflects the underlying superalgebra. The source provides no evidence of a proof or disproof.