I think you're on the right track. Am I correct to think that Pirelli uses two compounds on that tire? The side of the tire looks like it was too soft for ambient temps, with the high inflation pressures centering the heat in one small area and tearing off the surface rubber. This would be great for a street application, as it would never get as hot as the track, but as you found out, not so good for cooler track temps. If you start out at a lower pressure, it would have a better chance of spreading the heat and warming the carcass.
Are you faster than you were with the first tire? That could be making a difference too.
Not to knock Pirellis, but I've always found that Dunlop Q3 (and now the Q3+) are much more tolerant of cooler temps and warm up quicker if you're not using warmers. I went back and forth between the two quite a few times. Having said that, what does Pirelli recommend for track pressures for the SPV2? Maybe start over with a fresh tire and try again.
That tire would really impress the guys at Starbucks, so don't toss it yet.