There are a number of points that have not been discussed in this thread that I can see. Among them:
1) The decisions made by the trip leader would have been far different had they been heading for a peak other than Mt Washington and it's "attractive hazard", as Doug Paul so accurately called it. If they were going for, say, Mt Jefferson, then it would make perfect sense not to climb into worsening weather. Pushing on to the summit knowing there is no respite from the weather would be far more foolish and dangerous if poor conditions were upon them. On the other hand, when food, warmth, shelter, and your ride home is an attainable distance away, climbing to the summit (to me) makes more sense than a drawn-out retreat and continued exposure to wet and cold weather. (key word being attainable)
2) If they made it to the summit and the cog was not running, what would the dire consequences have been? Would the snack bar close up shop and kick them out, saying "Sorry, we're closed - you're on your own." Worst case scenario is they are provided with shelter until it is safer to hike out. Or maybe they break out the credit cards and buy some nice, warm sweatshirts. I'm not saying that should be the back-up plan, but it is what it is - that's what makes Mt Washington a caricature of the mountain it once was. If the forecast was for extended periods of winter-like conditions and the cog was likely to shut down, do you think Steve Ahearn would have given them the same advice? Do you think the adults on the trip would have arrogantly insisted on making it to the summit anyway? (Maybe it's all in the mindset of the reader - if I read it thinking "this guy's an idiot", I'd be more likely to find something wrong with everything he did.) ((Just like what you're thinking as you're reading this now!
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3) I took the time to view the slideshow that came along with the article. There were a number of photos credited to a Globe photographer. This means that someone had to schedule a photographer to join them on the assignment. The other childrens' grandfather had flown in for the trip, meaning he had a limited window in which he could join them. So this all means that they didn't have so much flexibility in the date for this trip - they had the photographer booked and maybe they had to make a decision on whether to go through with the assignment despite the weather. In that case, you would assess the risk based upon the (actual and forecasted) weather as well as the (mental and physical) abilities of the kids and adults.
It is okay for you to form your own opinions of what you would do in that situation, but I personally think it is purely a subjective judgement and unbecoming to tell someone else what they should have done - especially given that none of us were "in his boots". I find it absurd that people in this forum have gotten worked up enough to research historical reports for what the weather from that day might have been. Is this some kind of lynch mob? If you are so offended, I hope you take a moment to ask yourself why.
Very early in this thread I mentioned that the only objection I had was the Globe printing something that would encourage people to imitate this trip. I still stand by that, but I am surprised to see so many closed-minded reactions and conclusions that some people have drawn. Constructive criticism is helpful when it is invited, but judgemental criticism is ugly when it is handed out by those that have annointed themselves morally superior. (In my opinion.)
Feel free to PM me with any flames - I don't take any of this personally so I encourage any of your personal feedback and constructive criticism of my opinions...