Partly agree, partly disagree
The benefit of doing controlled experiments with single reflections in an anechoic chamber is that the experiment becomes "internally valid" - you know that you tested for the one thing you actually wanted to test, and not other things which you don't know about. The disadvantage, though, is that you don't know whether the experiment is "externally valid" - whether it can be generalized beyond the conditions of the experiment.
When it comes to this case, my gut tells me that inducing single reflections in an anechoic chamber is so different from listening to music from loudspeakers in a small reflective room, that it really doesn't tell us that much. Do we react in the same way to a single reflection, from whatever direction, as to many reflections coming from many directions at once? Intuitively, I would think that the answer is no - a single reflection won't be perceived the same way.
Btw, I don't think it's correct that vertical reflections are generally not preferred by listeners in the anechoic studies. The latest study I saw on this said that the listeners in the study preferred vertical reflections as well:
http://www.aes.org/e-lib/browse.cfm?elib=18245
I've also seen several studies which indicate that reflections from behind the listener can be experienced as beneficial:
http://www.iida-lab.it-chiba.ac.jp/.../09.The.role.of.reflections.from~.AA-2001.pdf
As to reflections from behind the speakers being undesirable, this seems to be something that has been taken for granted by many psychoacoustic researchers. But I struggle to understand what this consensus is built on. I've looked into it, and haven't been able to find more than one or two quite old studies which indicated that reflections from the front were undesirable. I even opened a thread about it here, but didn't get that much in the form of qualified response:
https://www.audiosciencereview.com/...c-effects-of-front-and-back-reflections.2207/
But as I said, I'm a bit skeptical as to how externally valid all of these studies are. My personal experience remains that I prefer omni directivity for acoustic music, and relatively narrow directivity for electronic studio music. This seems quite reasonable to me, in that omni directivity mimics how real instruments interact with a room, while the artificial soundstage of electronic studio music starts feeling strange when it behaves as if it consisted of acoustic instruments. I don't think that neither of these preferences is right or wrong. Other people may perceive it differently - depending on musical taste, experience with real-world acoustic music, acquired hifi habits, and more.