Sense-generality requires a single semantic value that subsumes all readings, but no such value can simultaneously encode both existential commitment and its absence without collapsing the distinction Russell's analysis was designed to capture.

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Existential commitment(as used in philosophy of language and logic): A claim that something actually exists in the real world, as opposed to just being a possibility or idea in someone's mind.
Russell's analysis(as used in philosophy of language): A theory about how certain statements work, developed by Bertrand Russell (a 20th-century philosopher), particularly about descriptions like 'the king of France' and what it means when something might not actually exist.
Subsumes(as used in logic and philosophy): Includes or contains within itself; when something is general enough to cover all the specific cases underneath it.
semantic value(A term lacking semantic value renders sentences containing it proposition-less): The contribution a term makes to the proposition expressed by a sentence containing it; absent when the term fails to refer to any real property or kind

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