> A perpetually inverted pyramid would require that fertility rate shrink even further, until it approaches 0 - do we have a reason to believe this will happen?
Any fertility rate that's below replacement maintains an inverted pyramid, if you don't have a lot of death before old age. (Until the very last person dies, in a long long long time).
Each person in the current breeding population produces fewer people in the next breeding population; this produces an inverted pyramid.
> And there are trivial ways to keep fertility at replacement level and not negative, on par with most other 1st-world countries.
No country that has fallen into population decline has found these "trivial ways" in modern times. (Not sure what you mean here by "negative")