Just had a chance to check my Netflix rental copy of "The Amazing Spider-Man" (2012, 2D Version), Blu-ray.
It is DEFINITELY a "Rental Special". It is lacking the Second Screen app functionality of the retail version.
It's a disc authored with BD-Java, and it's a little on the slow side for initial loading -- 1:31 to start playing the initial Sony logo animation -- but it loads Top Menu reasonably quickly after the previews and the feature also starts reasonably quickly from Top Menu. Repeat loadings have no problem either. (I did erase Persistent Storage before trying all this. My 83 is network connected and I keep BD-Live ON for testing purposes.)
By the way, for folks eyeing the new 103/105, the time to load to the beginning of that initial Sony logo animation on this disc is only 0:39 for those.

My guess is that the problem people are running into with the retail version is due to that Second Screen app. I think it likely the disc is trying to load updated disc-side support for that app over the network from Sony's servers (via BD-Live) during the disc loading period. That's either taking a ridiculous amount of time, or actually even wedging -- perhaps due to overloaded servers at Sony.
Which would explain why turning BD-Live OFF cures the problem, because the disc can't go out and get that stuff.
Another possibility is that the disc is hunting for the Second Screen app running on another device on your network. It's hard to really know for sure, but I think one or the other such example of poor studio programming of the disc is likely.
Obviously if you play the disc on an el-cheapo player without BD-Live networking functionality enabled, you wouldn't run into this studio installed gotcha.
--Bob
Edited by Bob Pariseau - 11/11/12 at 12:49am