One is always using a sophistical argument that amounts to this. "I feel that AL disagrees with my thinking; it seems to say this. This is in disagreement with such and such teaching of the Church." But the whole problem is arising from your way of thinking, and not from AL. AL makes the real meaning of "living as brother and sister" clear. The couple who repents from an adulterous "second marriage" is ipso facto already living as brother and sister in virtue of repentence+sacramental confession+penance. They are living in a Christian way. Their life has changed. The logical error made by the critics of AL is to understand "living as brother and sister" in a merely external sense. It means not having sex, nothing more and nothing less. This is rigorism, but it is also laxism. In every rigorism there is a corresponding occult laxism. Rigorism tells the couple: if you are not having sex everything is fine and no further discernment is necessary. AL tells us that this is not so.