The vast majority of people in the developed nations, will never actually see these animals in their native habitat. I would say the majority of the HN readers have never seen a lion, tiger, rhinoceros, elephant, orca, or shark outside of a zoo, aquarium, or sanctuary.
The effect of these laws is that more and more people will not have a personal connection to these animals. Therefore, when it comes to cheaper goods versus animal extinction, people may say that they feel bad about it, but their behavior and voting patterns are unlikely to change to prevent the extinction.
For example, if I hear that the giraffe will go extinct, I think back to the excitement of when I first saw a giraffe, and feel sad that my kids may never get to experience that and am likely to be more motivated to prevent it. If, however it is some animal that I have only seen in a video, well, I'll make sure to download it so I can show it to my kids someday.
Out of sight, out of mind really is a true statement about human attention and motivation.