That behavior doesn't surprise me -- the two commands do completely different things.
Adaptive Color applies to the raw photo's pixels, disregarding any Develop settings, using AI to get a "pleasing" result as trained on photos produced by professional photographers.
Whereas Match Total Exposures adjusts the Exposure slider of the target photo so that is has the same virtual exposure value (EV) as the source photo. The exposure value simply represents the combination of shutter speed, f-stop, a
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