Differentially private synthetic tabular data lets an institution train models on,
and share, records it cannot release. The mechanisms in use today are selected on
marginal fidelity and do not report downstream utility. CoRTeC spends its budget
once, on a release of cohort-conditioned histograms and a conditional table, and
lets a frozen, un-finetuned language model decode it, so unlimited records cost no
further budget. At ε = 2 on three regulated-domain datasets its marginal
error is within 0.016 of the most accurate marginal method and tree models trained
on it reach the real-sample floor. The paper also shows that both standard
acceptance criteria for synthetic data are saturated.