For some reason you keep trying to assert your belief as if it were fact having done no science at all.
And you are trying to convince a group of people that have done the science (have made comparisons) and reached conclusions that confirm the opposite of your belief. Do you really think that you are going to convince anyone?
So far I've only been able to test via the YouTube video linked earlier. which i did again last night. However as i mentioned earlier, i will be adding a set to my next order to do my own in-person testing without YouTube's compression.
The difference I heard within the video were within the vocals, which as best i can describe it:
Vocals with binding posts had a slight smearing within the decay, which had a gritty noise to it. (Think how a phone camera take pictures in a dimly lit room: image noise & often some slight blur.)
When audio switched to the tube connectors, the gritty-ness of the trailing vocals vanished, causing less smearing within the decay, making them stand out because they were better defined.
As though this hypothetical room was made just a little brighter, allowing for a cleaner, clearer image.
If your source & other components aren't good, you won't notice any difference, because the issue exists before the signal even arrived to your cables/connection/speakers. And if your speakers crossover/drivers aren't of great quality either, you wont notice a difference there either, since they're doing more harm than the connection would show.
Like I said, they aren't "magic", but they're certainly not making it worse either.
There's often a saying that goes, "there's no capacitor, like no capacitor" & theoretically speaking, "there's no connecton like no connecton" should also be true, with the ideal being from source signal directly connected to the driver.
The fewer components you have in your signature path, the more clean your signal should be, no?
However its not entirely realistic, no source can drive any driver perfectly.
You need to amplify the signal to have enough power to drive the speakers at a reasonable level, and you need a crossover to control multiple drivers, and thus you also need to connect the amplifier to the crossover. You could theoretically run a cable from the output solder joints of the amp directly to the crossover for the best possible retention of signal quality, but is that a convenient solution? Adding connection points at the amp and Speaker makes it easier and more convenient, but slapping on the cheapest terminals you can find isn't ideal because youre adding more connections and often different metals to the signal path, tube connectors are the closest you can get to a continuous run of wire without actually using a continuous run of wire.
That'd said, I'll be doing my own testing here in the next couple weeks, and coming to my own conclusions.
I may not be able to explain the difference scientifically, but I don't need to, cuz I'm willing to put my money where my mouth is and do my own testing.