I have had power power and the power pure tires (and road 2's that I will reference but not review because you aren't considering them)
power
is not as good in the wet as the pure and is only a single compound but that compound is awesome, very confidence inspiring in dry corners. they do not take well to long highway sprints at all, they tend to get a serious flat top (they start new a little flat) and get EVEN MORE squirmy in the wet. before I reached my wear bars they would easily spin coming off from red lights and lock stopping for lights.
warm up time was excellent
power 2CT
exactly the same as the standard power except for the last tiny bit, probably less than an inch so if you lean all your chicken strips away you will benefit from the dual compound but I cant justify it, I can get down to 1/4 of unused tire left on the standard power and still feel glued to the road.
power pure
all I can say is WOW, these tires are a step up in every way from the power. better wet grip about the same warm up time better wear down the center but still nice ans soft on the sides. the second compound on these tires is several inches wide instead of just a narrow band. the center compound is not as ridiculous hard as the road 2 so it has better acceleration and more importantly better braking performance.
in my experience all the pilot tires are very predicable when pushed to the bitter edge, the road 2 was the best when the road got dirty (or wet) followed by the pure then the power, if it was dry clean and hot I think the standard power had the edge with its contact patch shape and low tread void area, and the pure is the best all around tire.