This seems almost calculated to create backlash, yes. Who says that it’s a rational response though? I could imagine being emotionally blind to the situation and instituting this policy out of ignorance. By the time the hotel realizes they made a bad situation worse... explosion sounds. Any large hotel chain will be like most customer facing business, in that they will have a professional social media presence. Hopefully that person or department would dissuade management from this kind of misstep.

After all, a carefully worded response to the review is far better as an option.