Non-reversibility of the implication from SCC^cof to SCC^split

Let $\text{SCC}^{\text{cof}}$ and $\text{SCC}^{\text{split}}$ denote the two set-theoretic principles introduced in the surrounding discussion. Non-reversibility conjecture. The implication

$$\text{SCC}^{\text{cof}} \implies \text{SCC}^{\text{split}}$$

is not reversible; that is, $\text{SCC}^{\text{split}}$ does not imply $\text{SCC}^{\text{cof}}$. This concerns the relative strength of two variants of Strong Chang's Conjecture. The surrounding text states that the reversibility of the remaining implications under consideration is open, and motivates this conjecture using characterizations of the two principles by Shelah and by Cox and Sakai.