Yes that's true. Personally I don't care too much about the precise prognoses but about the general idea. 40 years ago, the model was simple and also today I don't think the complexity could be modeled accurately.
There are examples in smaller areas, e.g. Easter Island, Trinidade South were 'over-usage' lead to consequences. I could image this to happen to the earth as a whole in time when we do not regulate.
The global system seems robust, yes. But there is plenty of oil still and most nations are stable. But who knows? This will/could change. For the former there is technology. But for the latter it seems difficult, a former-china-like-one-child-policy would be in order for certain regions, but I don't see this coming.