Well in pvp its a no brainer. The SR is an archer and well we all know how over powered archers are. So the archer will be better for pvp.
PvE the SR has a lil edge also. But with the cost of shots it gets real expensive. The PW can be effective also but when you reach A grade you start to lose your effectivness. Prolly have to carry 100 Greater healing potions if you wanna solo.
Alot of archers will use a dagger until they reach thier 50's to save a lil cash.
"Averages" are not relevant in PvP. Looking at an average, or a standard deviation, implies that the outcome is random.
The outcome of PvP is not random, it is based on:
First, player skill. (Both winner's skill and loser's skill).
Second and third, class and gear.
So, grasshopper, how do you improve skill?
Do not take easy paths. Never cheat...cheating is intended to make things easy, improving gear without skill.
Hunt in hard areas, with substandard gear, don't use shots. Find mentors who are good, learn from them.
Do NOT try to level fast, you learn less per level if you go fast.
Think....think differently. Question conventional in-game wisdom. Analyze, use math, observe, question.