I don't know what to think either. I would remind that usually measurements of amps are with resistive loads and not with real speakers.
I know I've mentioned it before, but the Swedish AES results of series amp testing are interesting. They did that blind and only one was found to be transparent. I don't know how many they tested altogether. They did use a loudspeaker load. I've done the same thing many years ago, and also found obvious unexpected differences. My series testing was never blind which makes it even less credible.
The totally transparent amp which happened to be in the first two I tried was a Spectral. I was using ESL's which are an odd load especially in the upper octaves for amps. The Spectral sounded the same as a short piece of interconnect. I then believed other quality SS amps would be able to accomplish the same thing. They could not. I suspect it was variation in the upper two octaves, but didn't pursue that enough to find out. I also was younger then and my hearing was good to about 18 khz.
The Spectral had 1 mhz bandwidth. The other amps that were about transparent also had good bandwidth. 200 khz or so. Those with only 50 khz sounded different. But the difference sounded like much more than that. Of course the Spectral was designed for use on Quad ESL63s which is what I was using. So was it bandwidth, or just the amp was designed to work as intended for the speaker I was using while others were not?
Considering switching amps have filters and such at the upper end, it wouldn't be surprising if perhaps those interacted in slightly audible ways involving FR with actual loudspeaker loads.
Stereophile's test of the excellent Benchmark shows with their simulated loudspeaker load enough variation in frequency response it borders on audibility even down around 2 khz. It is about the only result not near theoretical perfection. Also that amp curtails response in the treble into lower impedance loads if the treble impedance dips to 2 ohms. I would imagine it would sound less than transparent for young listeners on my Soundlabs which are below 2 ohms in the treble. The Soundlabs are not a typical load of course unless that is what you use for listening.