The fertility rate is about identical or even a little lower among Swedes with at least one foreign-born parent [1], although there is some difference for foreign-born Swedes [2].

[1] https://www.researchgate.net/figure/Total-fertility-rate-by-...

[2] https://www.forbes.com/sites/ebauer/2019/08/09/is-sweden-our...

I take the point, but there is a lot of evidence that birth rates decline as safety increases (this includes financial safety).

Here is one study (of many): https://www.researchgate.net/publication/337068662_Declined_...

Even in the UK (from where I come) it's only first generation migrants that have many children, the second generation seems to fall in line with the society. From my anecdotal experience.