Yes, but when you brought that "weakness" in for comparison, you are now opening the door for a lot of other people to get written up. You might not have meant it as a way of reporting people, but ultimately, that is what it will become. It reminds me of the mentality little children have...when they say "but I wasn't the only one who did it" in order to save their own backsides.
Like I said, I would have taken that information to the others who have made the same mistake and let them know that management is looking at these errors. I wouldn't want to risk getting any of my co workers in trouble just because I happened to be the one who got caught. I'd rather handle it on the floor level before taking it upstairs to management. Then, if the problem does not rectify itself or, as I stated earlier, becomes a life threatening potential, then I would definately be the first one to let management grab the reigns.