Continuous Hirsch Conjecture for central-path curvature

Let $\Lambda(n,d)$ denote the largest total curvature of a central path over polytopes defined by $n$ inequalities in dimension $d$ and over all linear objectives.

Continuous Hirsch Conjecture.

$$\Lambda(n,d) \in O(n).$$

Equivalently, there is a constant $K$ such that $\Lambda(n,d) \leq Kn$ for all $n$ and $d$.

The source explains that known lower bounds make this conjectured linear behavior asymptotically tight. Its status is not resolved in the supplied material.