I think pops will decline on world's without jobs amenity and housing. But if it's normal world with healthy stability it will not
Emigration cuts POP growth, but actual decline (POPs showing up in the decline window) doesn't happen until things are really bad. I think it's actually low stability, not necessarily just a housing/amenity problem.
For example, I was running a fanatic egalitarian empire last night. Most of my high population planets had housing and employment shortages. But since my stability was high on them (80 stability even with housing shortages), no POPs were in actual decline. I wasn't even getting full emigration hits on them.
Perhaps running byzantine bureaucracy coupled with shared burden made the overcrowded dystopian core worlds of my empire tolerable.