No. WT and CT stays into NG+.
Does world tendency carry over NG+?
Even your current Character and World Tendencies will carry over.
Does demon Souls force you into NG+?
Unlike in Dark Souls 2 or 3, players are immediately thrust into New Game + upon defeating the final boss in Demon's Souls. ... Not just that, leveling is locked out on NG+ until Phalanx is defeated.