Zero-count conjecture for Meijer's G-function

Let $a_1,\ldots,a_p$ and $b_1,\ldots,b_p$ be real parameters, and define

$$v(t)=\sum_{k=1}^{p}(t^{a_k}-t^{b_k}).$$

Assume $a_i\ge0$ for $i=1,\ldots,p$ and $\sum_{i=1}^{p}(b_i-a_i)>0$. Zero-count conjecture. The number of zeros of

$$G^{p,0}_{p,p}\left(x\,\,\vline\begin{array}{c}\mathbf{b}\mathbf{a}\end{array}\!\!\right)$$

on $(0,1)$ is at most the number of zeros of $v(t)$ on $(0,1)$.

This would strengthen the implication that nonnegativity of $v$ forces nonnegativity of the corresponding Meijer's $G$-function. The statement is supported by numerical evidence, but no resolution is supplied here.