It looks like you got the definition of black backgrounds backwards: "backgrounds" in this context refers to information that inherent noise can mask, and you hear less of the background information as a result. The blacker the backgrounds, the more information one hears as a result; black backgrounds are a good thing. "Black backgrounds" means there is less or no background noise to mask minute information.
The reviewers have it right
Tasos, I respectfully disagree. People seem to be focusing on "blackness" as an attribute. I presume you refer to a lowering of noise. If that is indeed the case, and it is actually what the reviewers mean, why do they not simply write that a component has lower noise? Describing it as a "black background", or worse as Roy Gregory describes it in the quote Fransisco chose to share with us as "the blackness of the soundstage background", is nonsensical to me. How can a soundstage be black, unless it is a black box theater? No concert hall I have ever been in exhibits this characteristic.
People have quote the low ambient noise levels of certain halls, but have restrained from calling that a black background. No one has yet admitted to hearing black backgrounds when listening to live music in a concert hall. Why would we want to emulate that? Why do reviewers describe it like that?
I focus on the word "background". What is it? For me, it is the environment in which the musicians are performing. Unless it is way overdamped and very absorptive, we never hear an absence of sound, which is what "blackness" implies to me. We hear the waining energy from the musicians, the instruments, the air of the space, the atmosphere. If this is captured on the recording, I want to hear it through my system. It adds to the realism. I also want to hear very low level musical information. The decay, the subtle stuff. It is almost always there, unless the recording engineer eliminated it.
The background sets the stage. It is part of the experience. We hear it live, and should have some semblance of it in our listening rooms. Some components rob the signal of this low level information. For lack of better understanding, they are low resolution. When this information, high resolution is lacking or absent, other attributes get enhanced. This is appealing to some. Contrasts increase, "details" are pronounced, effects are enhanced. One is tricked into thinking he hears "more". It can be exciting, something new. This effect gets described in reviews. It is now something to strive for and chase.
Black backgrounds allow details and low level information to emerge and be heard. I reject this sentiment outright. It is low noise and high resolution that allow low level information, maximum information, presented naturally, to emerge. I don't want to hear "black". I want to hear what the musicians and instruments and the environment in which they are playing are presenting us.