I play mostly CW, but have dipped my toes with PW to learn the matchup from the other side and to compare them.
PW won't teach you much about warrior in general, the playstyle is completely different from other warrior decks. It'll teach you how to better fight aggro yourself, and it'll teach you to recognize good gambles.
If climbing ladder is important to you, PW is a very good deck for that.
Though I did actually pick up one trick from PW, there are a few opponent decks where gunning for a few face nudges (even with war-axe if need be ) can make later rounds much easier.