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Your last bullet point is basically what my response was going to be and it points to the resolution of what I was perceiving as a contradiction.
It is more unaffordable (costlier) to have kids than it used to be, because there are more other things adults spend their resources on now. Even if it's easier than it ever has been to afford kids (which we may disagree on), the opportunity cost is higher than ever too.
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We may be the wealthiest generation, but has median income kept with the median cost to raise a kid? A couple of factors are pushing costs of raising a family up: