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The significance of being traceable is simply that US could tell you to not abide by Iran's insurance scheme by threatening sanctions if you do.

Whereas if it's not traceable then all that others know is that your ship got through the strait and there's at least some plausible deniability of why it got through

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Iran is already sanctioned. The actors willing to ignore the US's feedback on Iran's insurance plans are already not playing by US rules. This is insurance for the shipping companies that are already operating on sanctioned fleet and oil.
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More than USA would sanction you if you start paying terrorists to pass a strait, none of the big players wants that.
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