The claim conflates 'simplicity alone determines elegance' with 'simplicity has no empirical role'—but simplicity might justify preferences without being the sole empirical criterion.

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Conflate(the criticism being made in the statement): To mistakenly treat two different things as if they were the same thing.
Criterion (plural: criteria)(In Buddhist logic, valid reasons had to satisfy multiple criteria; this statement mentions the first one): A standard or requirement that something must meet to count as valid or true.
Empirical: # Empirical Empirical means based on real observation, experience, or experiments rather than theory or guessing. When something is empirical, it's proven by actually testing it or seeing it happen in the real world, not just thinking about it logically. For example, empirical evidence might be data collected from a survey or results from a scientific experiment that shows what actually occurs.
Sole(The statement distinguishes between simplicity being important versus simplicity being the only thing that matters): One and only; the single thing, with nothing else.

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