>Every other society realized it at the same time? Which would imply every other society is roughly born at the same time, which sounds unlikely. So some of them (like us) should not yet have discovered the danger of broadcasting signals.
And I'll play Devil's Advocate to your Devil's Advocate. :)
It's entirely possible that there have been other technological civilizations over the past 13.7 or so billion years. That's a long time. As such, any civilization that stopped broadcasting in our direction, if they ever did so in the first place, any more than 100,000 or so years ago, would be completely undetectable to us -- ever.
What's more, as was pointed out in another comment, we haven't been looking for such signals for long (~60 years) and haven't surveyed anything close to the entire galaxy.
I guess the most accurate thing we can say would be that we haven't detected another technological civilization within 60 light years or so in the few places we've looked.
Given the lack of data, the Drake equation[0] is less a predictive device than a way to categorize our ignorance.
The Fermi Paradox[1] and its "where is everybody?" question is more in line with what I perceive to be your point.
Given that we haven't looked very hard for very long (as I mention above) in an enormous galaxy that's existed for billions of years, it seems to be in a similar position as any predictions from the Drake equation.
It's interesting to speculate, but without enough data, speculation is all it is.
[0] https://en.wikipedia.org/wiki/Drake_equation
[1] https://en.wikipedia.org/wiki/Fermi_paradox