Thanks for the suggestion to completely rule out the bright switch. I just tried it. There is a difference with the bright on/off (and the other tone shaping buttons) through the headphone out. The switches are fully functional through the headphone out.
I did some grade school science project-level measurements using the same dB app, weighting (A-weighting: good for mids but sucks for lows and highs, kinda mimics the Fletcher-Munson curve) and everything else for the speaker measurements. Not professional results but better than just my ears and possible perception bias interfering. I can then compare my past measurements of the 8 ohm unit and the 4 ohm unit under the same, less than ideal, circumstances. I am comparing wormy apples to wormy apples. Got it? With everything the same including technique, picking open E with a moderate downstroke using a medium gauge gel pick, the 4 ohm unit is loosely about 3 dB louder than the 8 ohm unit overall. The third harmonic of the open E is stronger by about 4 dB with the 4 ohm unit. The 4 ohm unit is about 10 dB hotter at 1.5 kHz, and then about 10 dB hotter at 2.5 kHz through 4 kHz.

The fundamental and 2nd harmonic are consistent unit to unit even with the A-weighting. The 4 ohm Rumble 100 had been used for 45 minutes total, at the time of the its measurements. The 8 ohm unit had tons of hours of use prior to its measurements.