Splitting and reaping numbers in shattered Cohen or Hechler iterations

Let $\mathfrak s$ and $\mathfrak r$ denote the splitting and reaping numbers, and let $\mathfrak c$ denote the continuum. Consider models obtained by the shattered iteration of either Cohen or Hechler forcing. Splitting–reaping conjecture. In these models,

$$\mathfrak s=\aleph_1\qquad\text{and}\qquad \mathfrak r=\mathfrak c=\mu.$$

For the corresponding shattered Mathias iteration, the theorem computes these characteristics at the iteration parameters, whereas for the Cohen and Hechler models only the bounds $\mathfrak s\leq\kappa$ and $\mathfrak r\geq\lambda$ are known. The conjecture is motivated by preservation of $\mathfrak s=\aleph_1$ under finite-support iterations of Suslin ccc forcing over models of CH, but remains open.