This still pretends that there is a sustainable rate of resource production. For many there is not.
That depends on what you mean by "sustainable".
Nothing is "sustainable" if our planning horizon is infinity; But then, lots of daft conclusions arise through the abuse of infinities.
What is our sustainability planning horizon?
Do we need to ensure that resources are still available in five billion years, when the Sun becomes a Red Giant?
Do we need to keep stuff around for our descendants half a billion years hence, who will likely not be recognisably
Homo Sapiens, and may well not all be the same species as each other?
Are we worried about the folks living 50,000 years from now, to whom our entire existence will be at best a niche subject of interest only to a handful of historians and archaeologists?
How long do we need to make things last for? And how much will our distant descendants miss the stuff that doesn't make it to their time, anyway? Do we really
suffer from our never having seen a T. Rex? Or a Dodo? Do we really care that whale oil isn't available in the stores?
We need to ensure that the next few generations have the best possible start in life; But we don't need to worry much about our great great great great great great great great great great grandchildren, and we can be confident that very few of them will worry one iota about us, or the things we did, as long as they are able to survive.
Either things will be vastly better for them, and we will be a footnote in their history books; Or things will be far worse for them, and they won't even
have history books. As long as we make a decent effort to get the former outcome rather than the latter, the rest is out of our hands.