The supporting arguments commit a fallacy of imperfect duty: that a museum sometimes displays non-art does not undermine the strong presumptive weight of its classificatory practices.

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Classificatory practices(as used in aesthetics and institutional philosophy): The systems and habits that institutions use to decide what category things belong in—in this case, how a museum decides what counts as art.
Presumptive weight(as used in logic and argumentation): The amount of influence or importance something should be given unless there's a good reason to ignore it; it's what we assume to be true unless proven otherwise.
fallacy(Whately's definition, Elements of Logic, Bk. III, intro.): Any unsound mode of arguing which appears to demand conviction and to be decisive of the question at hand, when in fairness it is not
imperfect duty(Kant's moral philosophy; examples include the duty not to let one's talents rust and the duty not to deny help to others): A duty that does not specify how, when, or for whom it should be fulfilled; it obligates the adoption of an end rather than a particular action, leaving latitude in its execution

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