My point is that, It's not really a safety risk. There were days when even minor car accidents could result in severe injuries from glass shards, and even nowadays, people still walk right into glass doors, resulting in severe injuries when it should not be. Those are things that requires the use of safety glasses.
It is a hazard (hazard being something with the potential to cause physical harm/danger or loss of life at the extreme) - the risk is someone cutting themselves.
Now, on the other hand, glass monitor screens have proven over times, since the CRT days, not to be a safety risk to warrant the use of safety glasses. It's as safe as a glass vase or a beer bottles or a window - when it breaks, it's more likely to cut you when cleaning up more than when the accident takes place.
The bit in bold is exactly what my point is/has been - when the glass broke on the OP's iMac, his children were placed in a situation of high risk where they could have cut themselves (they had been playing nearby). Anyone in the immediate vicinity of the screen that was broken would have been placed at risk because the glass spliters would/could have gone anywhere and everywhere (just like breaking a glass cup on tiles).
Safety glass monitor would be better, but it would be pretty much overkill.
It might be overkill for 99% of the time when the glass isn't broken, but that 1% of the time when the glass has 'broken' it is 99% safer.