If the reverb in a room is in tonal balance to the direct sound, even if overly dominant, and both are more or less linear, it does neither appear to be bright nor annoying, but rather smooth, diffuse, silky, balanced, distant, however you want to call it. Me thinks that Dr. Amar Bose has discovered this phenomenon in the mid-1960s already and constructed his (in)famous 901 speaker based on this idea.
It is not well-known, it is simply not the case. There is no indication why a flat response should in general sound thin and bright, if not being the result of a thing and bright anechoic response. In the latter case, well, it might sound exactly like that.
The gently tilted downwards slope will for sure lead to a dull, lower midrange/presence-laden tonality and cause all sorts of unwanted effects deviating from a neutral response. With the exception of the highest treble bands (7K+ Hz), which might be subject to a gentle decrease in level due to dissipation and absorption of natural materials without being perceived as overly dull.
With all due respect, but this does not sound plausible to me.
If assumed that there is such general ´preference for dull timbre, allergy to treble´in humans, would it not be inherently integrated in all existing recordings? Let us not forget, studio monitoring is usually done under more linear conditions, with tonality being closer to flat in-room response, due to better broad-band absorption in studio control rooms, nearfield monitors being used, boosted bass/lower midrange being avoided.
So if too much of treble is in general annoying and perceived as ´not natural´ (which I doubt listening to the majority of modern pop music productions), recordings would be mixed and mastered in a more dull, bass/lower midrange heavy fashion compared to how they will sound in any home listening environment. So why should the latter add another layer of treble attenuation/dullness? It is counterintuitive.
I don´t mean to say that any method to achieve flat in-room response will lead to a balanced tonality. Boosting treble under anechoic conditions, particularly for some narrow-banded peaks only, might lead to annoying or overly bright