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An answer is a cross-family data set ($\\Delta_{\\mathrm{CT}}$ from optics or tunneling, T_c,max, superfluid density) with a quantitative fit to model predictions, or a counterexample family.","problem_ref":null,"references":"","settled_by":"Measurement of $\\Delta_{\\mathrm{CT}}$ and the pair or superfluid density in at least five cuprate families, compared with three-band model calculations of $T_{c}$ versus $\\Delta_{\\mathrm{CT}}$.","status_note":"Scanning tunneling spectroscopy on Bi2Sr2CaCu2O8+x (2022) found that the local pair density anticorrelates with the local charge-transfer gap; a cross-family quantitative test is incomplete.","title":"Does the charge-transfer gap set the maximum $T_{c}$ across cuprate 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