The C_n elliptic hypergeometric transformation conjecture for the {}_{10}\Omega_9 series

Let $a,b,c,d,e,f,g,q,p,x$ be parameters, let $N$ be a nonnegative integer, and let $(N^n)$ denote the partition with $n$ parts all equal to $N$. Define

$$bcdefg x^{n-1}=a^3q^{N+2},\qquad \lambda=\frac{a^2q}{bcd}.$$

C_n elliptic hypergeometric transformation conjecture. The following transformation should hold:

$${}_{10}\Omega_9(a;b,c,d,e,f,g,q^{-N};q,p) =\frac{(aq,aq/ef,\lambda q/e,\lambda q/f;q,p)_{(N^n)}}{(aq/e,aq/f,\lambda q/ef,\lambda q;q,p)_{(N^n)}}\,{}_{10}\Omega_9(\lambda;\lambda b/a,\lambda c/a,\lambda d/a,e,f,g,q^{-N};q,p).$$

This is proposed as a $C_n$ analogue of the balanced, very-well-poised elliptic hypergeometric ${}_{10}\omega_9$ transformation. The source presents it as suggested by computer-assisted experiments, so its resolution is not established here.