Social Security in the US is one example. It literally depends on having a larger input base than the output.
The expectation of GDP growth is another, but without population growth, it's unlikely to be realized perpetually. I'm fine with that, but our over-leveraged financial system isn't.
Do it like software: if the implementation doesn't match reality, fixing the implementation is easier than trying to fix reality to match the broken assumptions
― George Bernard Shaw, Man and Superman
But if you believe it is reasonable or desirable to engineer social changes to increase the birth rate to be able to create and support economic growth, I think your priorities ordering is not right
2. Economic growth can be driven by increases in productivity. Automation can massively boost productivity. But at a certain amount of supply of labour, it is cheaper to employ a human than automate the task, even though the automation technology for that task is within reach. So a reduction in supply of manual labour can actually make the economy more automated and efficient.