I have one of each. I don't need 2 and had planned to sell the p380 after getting a great price on a new cw380 but I kept thinking up excuses to keep both and finally realized I just wanted to, so I have. So that tells you my answer
IMO, there's no reason to spend the extra for p model. For my purposes they're the same gun. I think the CW380 is an amazing bargain even when not on sale. Compared to any other gun this size, its better shooting, smoother trigger, more substantial, a true lock breach striker fired system, with last round lock open, just an all round more substantial weapon. Its in the same price category as the LCP the TCP and other tiny pocket 380s, but its in a whole different class. There are some exceptions, but most have no problem with theirs. I also think if you check out objective reviews (assuming they can be found) you'll find that its the choice for a pocket 380 among those who know guns best. For example I read Ayoob's review to the effect that while he thinks 380 is too light a gun, if he carried one this would be it. Of course that's before Glock came out with the 42, but I'm not willing to sacrifice the convenience of the smaller CW380.
I carry this size gun because I know if it were any bigger it would stay in the vehicle. I wanted to be able to carry essentially all the time in any style clothing without having to think about it. If that describes you too, go ahead get a CW380 (or, if they're on sale, get 2).
Rest in peace Muggsy
"Individual Muslims may show splendid qualities, but the influence of the religion paralyses the social development of those who follow it. No stronger retrograde force exists in the world." Winston Churchill 1899