If no empirically accessible quantity can distinguish a superposition from a mixture, the 'remaining superposition' is operationally vacuous and cannot constitute a measurement problem.

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Empirically accessible(as used in epistemology): Able to be experienced or tested through direct observation and measurement in the real world, rather than just imagined or reasoned about theoretically.
Operationally vacuous(as a description of why 'exclusion of interference' doesn't work): Something that sounds meaningful in theory but is useless in actual practice because you can't really do it or measure it.
Superposition(as used in quantum mechanics and the measurement problem): A quantum state where something exists in multiple different conditions at the same time until it's actually measured or observed.
measurement problem(philosophy of physics / foundations of quantum mechanics): The problem that textbook quantum theory provides two apparently incompatible rules for wave function evolution—deterministic Schrödinger dynamics when unobserved and random collapse upon measurement—without explaining how to reconcile them

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