You only have to look at instances where the tyres were required to last, only JB could do the longer stints(apart from a couple of Torro Rosso and Mercedes Forays past half distance in some races).
Amplify this, and Buttons skillset to manage tyres will hold him in good stead again. Although by how much is a mystery, because will he be the only one doing 2 or 3 stops whereas "racers" like Hamilton do 4?
What is there to be gained?
At this moment in time we can only speculate, so if its hard evidence you require you may be waiting till mid season to get your answer.
But 'people' have been saying that the Bridgestones degraded because of heat, and with the Pirellis it's just plain and simple wear. I don't think you can do much about wear, unless one can find a line that is shorter around the racetrack or something