I have a P24. I play jazz, and I need clean tones most of the time. I use an Acoustic Image solid-stae amp and Razer's Edge cabinet with a tweeter. (Yes, I know, it's not normal rock gear, and it looks pretty wimpy compared to any other amp.) I use a Yamaha MagicStomp modeler to dial in some dirt, etc.
I have found that blending some piezo in with the mag pickups can give me that singing and sustain that I like in Allan Holdsworth, Eric Johnson, Larry Carlton, etc., and still have a clean tone. I can darken it up by dialing the tone pot down to 4 or 5. It doesn't woof out like a 335, and when you play a weird chord with alterations and garlic in it, you can hear every note.
Your mileage may vary. I've been playing for 40 years, and the P24 is the best guitar I've owned.