All these questions and wild guesses. Here's my hypothesis.
There are two different coefficients of friction, static and kenetic. During the two stroke era (dominated by Michelin) a good kenetic coefficient of friction was necessary to keep up speed. When Bridgestone entered they incorrectly deduced that electronics and smooth power delivery of the 4 stroke would increase the necessity of a rubber compound that had a high static coefficient.
Unfortunately, for Bridgestone and their teams things didn't work out as planned. First, bikes still slid all over the track. Second, everytime it got hot the pavement melted the rubber and made sliding essential. However, Bridgestones did work well at low grip circuits where high kenetic tires were more difficult to hook up and difficult to control.
Now we have the 800s. Less power and loads of TC keep bikes from stepping out of line at all. High static coefficient tires rule (Bridgestone). On the other end of the spectrum, Bridestone probably won't help Hayden all that much and they certainly haven't helped Melandri this year.
Obviously, this is over simplified but it does make some sense to me at least. Puig told Pedrosa to hold out for B-stones b/c he knew you needed them to ride a 250 style. Nicky goes faster with traction control off so the tires get hotter and he can utilize the kenetic characteristics. A former 250 rider walks off with the world championship while Loris struggles to make the top 10 on the same bike. Michelin are better under qualifying when riders get sideways on a few hot laps. It explains also why Bridgestone are suddenly better than Michelin overnight.
I guess what I'm getting at is Bridgestones are fastest in normal riding conditions. It sounds like a bridgestone front and a Michelin rear would be the ticket to some fast racing.
How much longer will sliding be gone? If they switch to Bridgestone control, will they be shafting Michelin as power output grows?