So its hard to tell. But you know, its rare at hero that you'll be using a bow unless maybe if you're raiding. Or fighting another ranger, so that you can immolate/poison them. But usually I'd rather deafen first on other rangers and then switch to bow and do aimed head shots or something to finish them.
Anyway, in general though 90% of my fights were over in 4 rounds. Either I killed them in that 4 rounds or they got away. So being that what it is I just rarely messed around with bows in PK except maybe as finishing moves.