The research was not done "live." A speaker was placed in front and another representing the side reflection. The level of the speaker on the side was varied and detection threshold/preferences assessed. The reason for improved intelligibly is that overall sound energy increases with reflections. Suggest reading my published article:Early reflections improve LIVE speech intelligibility, maybe also close-mic'ed recorded speech but once you create depth/space in a stereophonic recording that is no longer true.
Perceptual Effects of Room Reflections
https://www.audiosciencereview.com/...ds/perceptual-effects-of-room-reflections.13/“Measuring Audible Effects of Time Delays in Listening Rooms, ”Clark, David, AES Convention: 74 (October 1983)
"In scenario #1, the addition of a second speaker was considered to have “moderate and pleasing effect.“ This, despite the fact that comb filtering was generated as a result of the second speaker. Clearly the listeners liked the effect more than they were concerned with any frequency response variations."
Room reflections are also not sufficiently delayed to create the effect you are talking about "depth/space." For that, you need multichannel recordings. What happens is image shift, not what you imagine in your head.
Please folks, don't opine unless you have read the research.