First, the "predictions" have been well massaged as more data came in. The original predictions said we would already have hit "collapse" some time ago.

Second, the "predictions" your references show are the same as those of alternate models that do not predict an imminent collapse. (All of these models, suitably adjusted to reflect the latest data, predict growth up to now, which is what the data shows. The alternate models simply predict a leveling off as population growth stops, not due to "collapse" but due to the fact that increasing wealth leads to lower birth rates.) So all of these models are useless for telling us whether a collapse is actually imminent or not. The fact is that we simply do not have that kind of predictive power using models.