Monotonic-zero conjecture for truncated Ramanujan Xi-functions

Let $Q$ denote the first quadrant of the complex plane, and let $\Xi_{\Delta,N}(z)$ be the truncation after $N$ terms of the hyperbolic-gamma-function series defining the Ramanujan $\Xi$-function. A function has monotonic zeros in $Q$ when its zeros there, listed by increasing real part, have monotone nondecreasing imaginary parts. Monotonic-zero conjecture. For $N\in\mathbb N$, $\Xi_{\Delta,N}(z)$ has monotonic zeros in $Q$. The conjecture extends the proposed monotonic-zero pattern from truncated Riemann Xi-functions to the Ramanujan Xi-function; the source gives no resolution or evidence beyond the surrounding discussion.