You source [1] doesn't disprove it to be honest. It is not because of population growth that less people live in extreme poverty. It is because of technological achievement and progress in society. Basically its the time (considering we progress) that is eradicating extreme poverty not the population growth. You are linking wrong data to prove me wrong. In fact, overpopulation means more pressure on resource which we already can't mine due to various reason.

You connected nursing home with wrong thing again. The problem with less fertility is that when there are lot of old people many people can't go to factory and old people can't work. But with technological advances one people can manage a lot of machines due to automation. Anyway, nursing home is easier to manage today than it was 100 years ago.

Your entire comment is basically saying life is hard so people should not be born? This is absolutely the best time to ever be alive in history. Is it really? Your source clearly says "Most people in the world live in poverty. 85% of the world live on less than $30 per day, two-thirds live on less than $10 per day, and every tenth person lives on less than $1.90 per day"

Would you like to be that 85% who wants to live on less than $30 per day? So, you are trying to conceal the difficulty saying life is hard but in fact it is extremely hard for many people.