there are all kinds of reasons why people don't want children. and these reasons are discussed in many places. pain of childbirth is not often a topic, which suggests that it is not a common reason, so it can hardly be the cause for the birthrate to drop
pain of childbirth and any of the negative after effects are not often a topic, which suggests that they are not a common reason for not wanting children, and so that can hardly be the cause for the birthrate to drop