Linear growth conjecture for character varieties of Montesinos knots

Let $\mathfrak{m}=\mathfrak{m}(a_1/b_1,a_2/b_2,\ldots,a_t/b_t)$ be a Montesinos knot with $t$ tangles. Consider its $\operatorname{PSL}_2(\mathbb C)$- and $\operatorname{SL}_2(\mathbb C)$-character varieties. Linear growth conjecture. The dimensions of the $\operatorname{PSL}_2(\mathbb C)$- and $\operatorname{SL}_2(\mathbb C)$-character varieties of $\mathfrak{m}$ grow linearly with the number of tangles $t$. The conjecture is motivated by the linear growth of the dimension of the $\operatorname{SL}_2(\mathbb R)$ character variety of the associated orbifold as the number of tangles increases; the source does not state a resolution.