The problem may relate in part to Germany, where a natural monument is a thing.
Also in the USA the tag is ambiguous. historic=memorial perhaps better fits the definition. But even then there are many small memorials and roadside plaques that could reasonably be tagged historic=memorial or historic=monument, but don't seem to match your definition well. It would help if the agency certifying the monument were identified per http://wiki.openstreetmap.org/wiki/Proposed_features/heritage For example: heritige=2 historic=memorial heritage:operator=nhrp ref:nrhp=nhrp=07001063
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