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Updating here what I found out, so it could help someone.
If the constant 'fnd0DisallowCopyBVR' in SaveAsInput-Descriptor of ItemRevision is set to false, BVR will not be copied to new ItemRevision.
By default, the visibility of above contant is set to false in BMIDE. When the visibility is set to true, this flag will be displayed on SaveAs-Dialog.