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Unless you have an explicit strategy for how and when you will speak out in the future, and explicit reasoning for why that requires silence now, "strategic silence" is just silence.
I think part of the problem is people think of themselves as having at least, like, a medium explicit strategy, but, the strategy routes through some judgment that conveniently keeps returning "not yet" or "only saying things in a somewhat cagey way."
i.e. this advice seems necessary but not sufficient.