I understand where you're coming from but, with respect, I don't agree.
First, Elsa was wrapped in a towel and inside a bag, not just left on the floor with no protection at all.
Second, we have no way of knowing whether someone did watch the place she was left for a while until she was picked up (like the parents in your example).
Third, the article says that Elsa was only about an hour old when she was found. Perhaps the person who left her in that spot did so knowing that it was busy with dog-walkers or other people and that she'd be found quickly.
I'm not saying the person who abandoned Elsa particularly cares/d about her or her siblings. At all. Unlike other MNers, my instinct is that this isn't a desperate mother in a dire abusive situation. My gut feeling is that Elsa has been taken from her mother and left in the park by her biological father.