Disproved. The site labels the problem OPEN as of 2026-10-06 (page last edited 19 October 2025), which reflects that neither of the two claims on its proof-claims tab has been reviewed, not a different reading of the question. The tab carries two full proof claims, both disproofs, with no comments and no acceptance, and the site's remarks cite [EO56], [Er61] and [Do24]. The derived standing is solved/disproved for the Statement, through the Lean development with Codex as formal author on Alexeev 2026, which this corpus built and audited: almost surely $R_n/\log n$ has lower limit $1/\pi$ and upper limit at least $2/\pi$, so it does not converge almost surely to $2/\pi$. Five further full claims of the negative answer remain pending, none refereed or independently reviewed: the working note on Kovač 2026 (generated by ChatGPT 5.5 Pro, posted on the thread on 2026-04-30), with the lower limit at most $1/\pi$ on an event of positive probability; the note on Kwon–Zou 2026; the Lean development on Snyder 2026, which the formal-conjectures catalog links as a formal disproof and which proves the negation alone; and the two claims on the tab, Sneiderman 2026 and An–Lin 2026. Kwon–Zou, Sneiderman and An–Lin claim the lower limit $1/\pi$ almost surely.