Measuring op amps with the speaker, room and microphone in the chain of measurement is just introducing more sources of error. Any measurement involving mics is rather unreliable outside of soundproof chambers. This is the wrong way to measure what you're trying to measure.
Changes in the frequency response in the audible range would be trivial to detect using a reliable method. And I have not seen any indication from tests here on ASR that op amp swapping influences the FR like you describe. One very clear counter-example:
This is a detailed measurements of effect of swapping the stock NE5532P op-amp in Fosi P4 preamplifier with Sparkos SS3602 "discrete" opamp. The SS3602 costs US $79.80 and the NE5532P, US $0.47. Swapping opamps in P4 is more challenging due to back connectors/switches that need to be...
www.audiosciencereview.com
I used the 2:24 sine sweep as it is slowly moving from 20hz all the way up to 20,000hz. And I use the peak measure in the RTA Audio without any smoothing.
So I can see how that sine sweep move up and down like an ECG chart showing peak and valleys across the audible frequency range during that 2 minutes and 24 seconds measuring process.
As that iPhone sits at my listening position, I consider it is hearing what I am hearing when I sat there.
Anyway I always wonder how frequency response chart always show smooth curve? did they do some smoothing or post processing. But my experience with RTA audio (peak mode) and sine sweep (2:24) has always with such jagged lines.
Did all sort of things with that RTA app and sine sweep from rolling op amps, rolling amps, rolling speaker driver, adjusting speaker placement, rolling DAC, interconnect cables, speaker cables, power cables and using/not using a power voltage stabilizer. And the chart reflects the perceived listening effect (in my humble opinion).
Also I used equalizer APO to perform EQ from PC and did the same approach
A. Measure with RTA audio + sine sweep before the adjustment
B. Perform the adjustment based on the measurement
C. Measure with RTA audio + sine sweep after the adjustment.
The measurement reflects the changes I made at Equalizer APO.
its what consumer user can do best with an iphone and a youtube, anyway