I am in no position to comment on this text; that’s above my pay grade. However, the notion that one has to fully experience kammic consequences before making an end of suffering has to be false.
If that were the case, Angulimāla would never have attained arahanthood in his life. One of the themes at puredhamma.net here is that not everything is determined by kamma, and that by removing avijjā and taṇhā, one can bypass future kamma vipāka.
Best,
Lang