Independent. The site's commentary records that the question is undecidable when $\mathfrak m^+=\mathfrak c$, crediting Kumar and Shelah with a model where the answer is yes and Schilhan and Weinert with a model where it is no, and that the answer is yes whenever $\mathfrak m^+<\mathfrak c$. The frontmatter standing is derived from the accepted claim page Schilhan and Weinert's result, which, together with any model of CH, where the statement holds vacuously, gives the independence of the statement in the site's wording, and, together with Kumar and Shelah's result, the independence of the case $\mathfrak m^+=\mathfrak c$; both are accepted on their refereed publication and the site's credit. The case $\mathfrak m^+<\mathfrak c$ is Erdős's 1964 result, an accepted partial claim.