Yes but please keep in mind:
- The area in question. This is a groomed, well-maintained, artificial beach that Disney invites its paying customers to use that is located on a body of water wholly owned and controlled by Disney.
- Many bodies of water throughout the World have "No swimming" signs. Such warning signs offer legal protection from cases of drowning. However, "No swimming" does not mean "Alligator warning".
- Regardless, the child was not swimming.
- Disney advertises WDW throughout the planet. It may be obvious to Floridians that bodies of water have alligators but most Disney Guests come from areas where alligators do not exist. These Guests cannot be expected to know the proximity of alligators and, even if they did, they have reasonable expectations that they will be protected from them in a beach area maintained by Disney.
The doctrine of ferae naturae (meaning Disney is not responsible for the behavior of wild animals) does not protect Disney under these circumstances. Disney created an artificial environment (the white sands beach and lake are both made-made) and knowingly put customers in close proximity of dangerous animals without providing protection or warning.
As the CNN article you linked to ended with:
Even with adequate signage and ferae naturae doctrine, a resort could still be liable in spite of all these protections, if it's flat-out negligent.
Resort liability in Florida for an alligator attack will depend on the specific facts -- not only the facts of the tragedy itself, but what the resort did and knew in advance about the alligators, and the likelihood of the harm.