Could you not just have the frame on a single master page and use that as the basis for all master pages, then you would only have to remove it from one master page.
A-Master - // contains the frame
B-Master - // Based on A-Master
C-Master - // Based on A-Master
Hope this helps
thanks for you answer, but it can't solve this.
Could you provide more reasons as to why this solution is not suitable, and then it may be possible to find another solution?
Would it work to put your print box on a separate layer? Make the layer visible before printing or exporting, then hide it.