It really irks me when people play a game of whispers on these forums and then make up some random conclusion, it would serve you and others well to reread first posts before replying. THE OP DID NOT BLAME THE HOTEL FOR THE BURNING ONCE!!!!!
the whole discussion is about the BAD RESPONSE from the hotel, it wasn't stated that a cm caused an injury to the child and blame was being thrown. there was no blame anywhere! It is a discussion about poor handling of a situation. When the OP asked for a manager the next day one should have been made available but that didn't happen. The reaction to the burn was the issue, and if Disney were so worried about the liability they shouldn't have offered the ice packs which had the the potential to make the burn worse. A courtesy phone call to the room would have sufficed and I'm sure the OP wouldn't have even posted because the response would have been a good one (minus the ice packs).
Whether you are at Disney, at a bank, at the mall, at a hospital, anywhere that is a service environment a guest service/customer service/patient service Manager what ever you want to call it, should be available. At the end of the day this had a negative impact on a vacation that probably cost thousands of dollars it would not have caused disney any issue to repond better, give the kid some stickers, add an extra towel animal on the bed, give him a card from mickey, organize a special seating for fireworks or parade, all of these cost nothing but would have taken away the whole negative in this situation and that is the poor response, not why the injury happened.
EDIT: I don't think all of these things should have been done but just an example that one of these things could have been done.