Some details of the case are a grab bag (I'm not sure I see how "male employees proudly came into work hungover" is an incident of sexual harassment), but there are multiple accusations here that are both far beyond the "every large company" level and clearly implicate senior leadership. They probably should have been less... toxic about it, but a good response can only go so far if the underlying incidents are true. Personally, if I worked for Blizzard, anything other than a vehement denial would have sent me right out the door.
That's not to rule out the possibility that it was just a panicked response nobody thought through in detail, since there's gotta be a big overlap between people responsible for this message and people responsible for stopping sexual harassment.