I agree with you on this. I think your analogy is correct in this regard.
Once again, I understand and appreciate your intention and goal here.
And in a spirit of trying to find common ground, I will also say that I have zero problem believing that Bluetooth transmission can create a sound that folks view as inferior to a similar sound without Bluetooth in the signal chain. Bluetooth audio compression is lossy, and some of the BT codecs are pretty bad (although some are pretty good and might be audibly transparent). I will take lossless over lossy any day, because while lossy compression might be inaudible, lossless compression is guaranteed to be inaudible so I never have to worry about it.
So I'm not out to trash your entire experiment here - and I don't think I'm alone in that. The problem, though, is that "the technical measurements of the Bluetooth receiver might partially explain the feelings and the observation" is pretty much all we can say. Was the signal chain within your Android phone a factor? Was the Bluetooth codec that your phone and the receiver "agreed" on the main issue? Did the Bluetooth signal have to operate in a lower-fidelity mode because of a dodgy wireless connection between your phone and the receiver? Was there something in the hardware design or software of the BT receiver that was the main cause? Why does sample #1 show evidence of dynamic compression (which has nothing to do with the lossy data-size compression of BT transmission)? Why does it look like there are clipped peaks that have subsequently been attenuated in volume? Why is there a channel imbalance in one sample that's nearly 3x the magnitude of the channel imbalance in the other? That has nothing to do with BT, so it must be something else.
All we can really know here is that Bluetooth might possibly have degraded the sonic fidelity to a degree that is audible. But this is nothing we didn't already know about Bluetooth beforehand - and your test is actually less informative than that, because even if we assume that people's reported listening impressions would stand up to a proper blind ABX test, we still wouldn't know if Bluetooth was the reason, or one of multiple factors, or not really a factor at all.
So with all respect, we aren't quite "sharing a moment of discussion while learning things." We are just sharing a moment of discussion - because there's no way to really know what if anything we can learn from this. The hypothesis that BT is a key factor here is a reasonable one - but it is not proven, or even established to be probable or highly likely, by your test. I'm sorry, and nothing personal, but your test is just far more limited in what it can tell us than you seem to think.