I have both> The PR3's on my K13s are incredible, very confidence inspiring, they have 5k miles currently with at least another 1000 to go. As earlier mentioned, they are very nice in the rain. I have the Power Pures on my Senna 750 which were on the track for BubIII, again an excellent tire that is significantly lighter than the competition, great feel on both the track and on the street, makes the front end steer faster. The first time in my 30+ years of riding that a tire helped me ride better.
I've always had pilot road 2's on my Honda VFR800. This is my daily bike. I get crazy amount of Km's out of this tyre, like 25 000km+. My front is around 30 000kms and is needing replacement soon. Never had an issue with grip in dry or wet. You will not get these sort of Km's out of the pures as they are more sport orientated. Can't comment on the PR3 as I've never used them.
Pilot road are dual or multi compound more stuited to cruising and sport riding. Pures are more of a sport tyre.
PR are great for my daily as its mainly highway riding and the hard center lets me get the most Km's out of them.
For the MV i'd get a sports tyre and would not use the pilot roads.
You can carve it up on the Pilot Road 3's. They have more than enough soft stuff on the sides to hold in the corners and last longer in the middle. I know people that had the 2's and disliked them a great deal. The 3's were redesigned to give more grip while maintaining the long wear. I put them on my Brute and love them. We canyon carve all day long. We also put them on my hubby's Ninja 1000, he thinks they're great. My friend with the Street Triple is now on her 3rd set. We use our tires a lot