OK but that is not a statement that informs us about anything. How do you define "can't pass the signal correctly?" Even if I accept your implied premise that a perfectly correct and accurate signal should be perceived as "transparent," how imperfect does it have to be (and in what way) in order for it to be perceived as "not transparent?" This is critical since it is unlikely that any of us have perfectly correct and accurate systems.
I doubt that has been demonstrated.
I can accept your statement that you may perceive a given setup as "transparent" and regard that as a qualitative assessment and praise. It has no other value for me.
In your position I can see that this might be mysterious. As any
competent designer knows there's nothing mysterious about it at all. If I were to offer you advice (and this based entirely on this brief exchange so could be way off base) I would advise to dump the made-up story that perception is all that difficult or mysterious. None of it is.
Humans all have very similar perceptions and in this regard true 'Golden Ears' are really rare.
If we didn't use the same hearing perceptual rules, the science and art of audio would not exist. There is a
reason deciBels exist, why bandwidth has to be at least 20-20KHz and so on. I'm not going to go into all the perceptual rules here but there are a lot of them and we all have them in common unless our hearing is damaged/defective.
So this could become a conversation going down some existential rabbit hole which is entirely unnecessary. Your comment about 'I doubt that has been demonstrated.' is false- its been demonstrated many times; everyone on this thread including yourself has been witness to such, unless you have a difficulty distinguishing between that which is being perceived and the perceiver. Or- I grossly misunderstand what you are trying to say.
You might ask how I know this. My response is go read the reviews of our equipment. One thing that is common to all of them is that our equipment has that character of being 'transparent'. I know what transparency is because its my job to know how to design equipment that is just that and to know when I hear it.
(Whether audiophiles like it or not there is science to audio and good measurements are paramount to good performance/good sound. But you have to know what is important! Daniel Recklinghausen said it very well and his words are as true to day as they were ages ago!)
I've advised many time to make recordings yourself so you were present at the musical event and then produce media like LPs or CDs so you can play those recordings on various systems. You'll know right away what you're listening to- how well it plays bass, can you make out the smaller details, that sort of thing.
When the recording equipment fools you into thinking that something you just heard was real and not coming through the headphones or speakers then you know you are on the right track. Microphones, mic preamps and headphones have been there for a really long time. Most of the transparency is lost when the signal is committed to media but even then you can still make a system sound so real that it can on occasion fool you so completely that you are convinced someone broke into your home and is singing/playing along with your stereo before they axe you to death. Its as spooky as it sounds.