My understanding is that Christian iconoclasm tends to involve icons that are actually being used in worship. There may be exceptions but that would seem to be the pattern in the Beeldenstorm. There were similar instances in Scotland and England where Protestants whitewashed over artwork in Christian churches - I would support such a measure if the church was still to be used as a place of worship (provided the congregation wanted to, of course).
I'm maybe setting myself up to be proved wrong, but I don't think you will find Christians (maybe a handful of individual loons aside) arguing for the destruction of icons at historic sites, museums etc.
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