Learn English – “Savings Account” vs “Checkings Account”

You can say either, depending on the context. The term consumer savings is used by economists to describe broad trends in the behavior of a population. But you could use consumers' savings to refer to a specific set of consumers apart from the general populace.

It's correct; it has a doubling of negatives, but one that all but the most disapproving of double negatives would allow.

It's logically equivalent to "I would like to have children", but differs in that it is reacting to the idea of not having children rather than to the idea of having them. While those amount to the same thing logically, ones emotional response to each idea could be of different degree or contradictory (it is possible for one to say they wouldn't like to have children, but also wouldn't like to not have them).

For this reason, the double-negative expresses something than the negative-free equivalent, and most would allow it.