I would say this is conceivable, at least in the context of speakers. For example, people seem to have a strong reaction to horn speakers with large woofers. I am not aware that we have solid experimental data that would explain that or debunk it. Good experiments on the audible differences between transducers are not trivial, which is why Toole and Olive are big figures in the industry. I don't think either has suggested there's no work left to be done in their field.
On the other hand... Just because I don't know something doesn't mean nobody knows it... The level of knowledge of some guy on ASR is not definitive.
In terms of recordings or electronics it's hard to imagine we're recording, playing back, and hearing something interesting without realising it. We measure fidelity at every step of the chain, it can be easily pushed beyond any known threshold of audibility, we can extract every difference with deltawave, so... there is really nowhere for novel features of audio signals to hide at this point.
Keep in mind that studio folks are messing with audio and visualizing it day in, day out. If there is a form of distortion that's interesting in any way, someone has probably made it into an effect by now.