In this forward source calculation, the observed mean temperature is not inserted as the direct target input. It connects a count-based cosmological account with a radiation-density calculation and then a temperature. That is a meaningful dependency to inspect, but it does not make the result statistically independent of every aspect of the microwave background.

The cited source also reports a radiation energy density of 4.1723 multiplied by ten to the minus fourteen joules per cubic meter. The temperature comparison is about 0.48 standard deviations from the quoted observational benchmark. A small difference indicates compatibility under the stated uncertainty; it is not the probability that MQ is correct.

The radiation-density comparison does not supply a second independent test, because its observational benchmark derives from the same temperature information. Counting both as separate confirmations would exaggerate the amount of evidence.

The microwave sky contains much more information than its average temperature. Temperature and polarization spectra, gravitational lensing, and correlations with structure growth impose additional requirements. The present temperature calculation does not establish agreement with those observables or replace a numerical cosmological perturbation analysis.