I wouldn't say that Disney's procedures are "turn a blind eye." I personally believe that this Cast Member (I honestly have no idea who it was, so I can only assume what happened) didn't act right away because he/she did not know what to do in the situation. I think the problem stems from the fact that "how to deal with Guests in a physical altercation" is not part of any training Cast Members receive. Put yourself in that person’s shoes. If you had no training on what to do when guests argue, you didn't physically see or hear any altercation, and a guest comes up to you and tells you that there was an argument in the briefing room, you may be confused about which steps to take.
Also, it depends on how the CM hears of the incident. If I was that CM and the OP came up to me and yelled "someone was just punched in the briefing room" I would have called a coordinator, pulled the Guests out of line, and attempted to figure out exactly what happened. However, if the OP came up to me and said "someone had an argument in the briefing room" I would have assumed that it was a just small verbal altercation and I'd go into the room and make sure that both parties were calm and everything was resolved. That's just me. Like I said, we don't receive any formal training on how to handle these situations so it's really up to the CM.
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