The site's wording does not say which density it means: "positive density" can ask that the set have an asymptotic density and that it be positive, or only that its lower density be positive, and the two readings differ for a set whose density need not exist. The change replaces "positive density" by "positive lower density"; nothing else changes. The evidence is the posers' own text. Erdős and Prachar ([ErPr61], p. 256; library card: Erdős and Prachar 1961) ask whether the "untere Dichte" (lower density) of the $k$ with $p_k/k<p_{k+1}/(k+1)$, and of the $k$ with $p_k/k>p_{k+1}/(k+1)$, is positive, and close the paragraph with the remark that it seems hard to prove that the $k$ with $p_k/k<p_{k+1}/(k+1)$ have "positive untere Dichte". Erdős's 1965 survey ([Er65b], p. 204; library card: Erdős 1965), the source of the site's wording, puts $u_k=p_k/k$ and says: "We easily show that the density of the integers $k$ for which $u_k>u_{k+1}$ is positive. We cannot show that the same holds for the $k$ for which $u_k<u_{k+1}$." It says "density" without qualification and is consistent with the 1961 question, so the ambiguity is already in the poser's 1965 text. The site's commentary reads the question as asking for positive lower density, and the formal-conjectures statement asks for positive lower density; neither is the evidence for the change. No result about another reading of the site's wording is recorded.