The site's wording places "for all $E$" after "for almost all $\alpha$", so it also admits a simultaneous reading, in which one set of $\alpha$ of full measure serves every measurable $E$ at once. That reading fails for every $\alpha$: the orbit $\{\{k\alpha\}:k\ge1\}$ is countable, so its complement in $(0,1)$ is measurable, has measure $1$ and is never visited, and its visit frequency is $0$; the argument is elementary and is set out on the claim page. The change swaps the two phrases "for almost all $\alpha$" and "for all $E$", so that the null set of exceptional $\alpha$ may depend on $E$; nothing else changes. The evidence is the poser's own text as the site credits it: the site's commentary calls the problem a conjecture of Khintchine [Kh23], and Khintchine's question (§ 5, "Ein neues Problem", pp. 303–304) fixes the set $E$ first and asks whether his relations (6) and (7) hold "für alle $x$ mit Ausnahme höchstens einer Menge vom Maße Null". The ambiguity is already in Erdős's statement in [Er64b] (Part II, p. 57), which the site's wording follows: "Then for almost all $\alpha$ and every $E$". Erdős's own words there point to the same reading, since he credits the conjecture to Khintchine with the locator "see p. 303–304" and calls it "very deep", which the simultaneous reading is not. The choice does not change the answer: Marstrand's refutation [Ma70] of the precise Statement refutes the simultaneous reading as well. Results about the simultaneous reading alone, credited here and not counted: the variant erdos_994.variants.simultaneous of the formal-conjectures statement file (added on 2026-09-22, pinned under Formalization) and the theorem not_erdos_994 of the file Erdos994.lean in Boris Alexeev's lean-proofs collection (in the repository since 2026-08-17; formal authors Codex and GPT-5.6 Sol, as the file names them), both proving the orbit argument in Lean.