Yes. This is how I understand it. Conditioning doesn't have to work instantly. If we say birth is a condition for death, that doesn't mean, when you are born, you immediately die. Neither does it mean, once an enlightened being dies, (s)he needs to be born at that same moment.. It's conditioned by his/her past birth years ago. Likewise, with past ignorance. Past ignorance did condition consciousness at birth, not now, necessarily. If there is no ignorance, but still vitality, this keeps consciousness going, but it is not refueled by ignorance any longer at the moment of death.