Look up the world event and see how much people liked it being partly pvp. . .
I think you find your answer there. If you don't want my opinion, don't ask.
Partly. People wanted to do one small part of event, and consciously went into pvp are to do one pvp-related thing(main difficulty of that boss was possibility of other faction interfering). They weren't forced to pvp while doing even dalies, or when they wanted to turn in DNA.
Just like people play warzones on PvE servers, and yet don't run around doing dalies flagged for pvp.
As for op idea - it's stupid by itself. It would only reward people playing on wrong servers(want open world pvp and play on pve?), or cause unwanted increase in all loot on pvp servers.