Rather than take your survey and skew the results, as a fellow sound designer, I will ask the following questions...
1: Your description and question of Cinematic/Stylistic is inherently problematic... Since, frankly, the use of surround sound is a clear stylistic choice (I look to Rob Kaplowitz's design for Fela! as a clear example of this).
2: Frankly, one X factor you're forgetting is the musical style of the piece... If it is a Rock/Pop based musical, the sound designer has a completely different set of tasks and expectations. If you're doing South Pacific, and actively notice the amplified sound design, something is dreadfully wrong, but if you're doing American Idiot, the presence of amplification is much more accepted, so there is a completely different set of expectations.
We could talk about this until the cows come home, I'll think of more comments, PM me if you have questions.
emg
The one show everyone on Broadway is waiting to see: Twyla Tharp presents: Big Bottom - The Spinal Tap Jukebox musical!