It does not work backwards (the best PvE gear is worse than Recruit in PvP), but that's why they give free Recruit set, so all in all quite fair.
I asked about this on the PvP forums and didn't get an adequate answer.
Are you claiming this because you know for sure? Or you just think so?
I've been thinking about getting into PvP. When I swap my PvE gear for recruit I lose 35% of my health and 25% of my dps. My instinct is to keep my PvE gear and grind Battlemaster and don't even bother with Recruit. I've had 3 people disagree with me, but nobody has given any concrete explanation.