Issue: Move item to different area: Also move synonyms (optional check box)

I would like to request an additional option be added to the "Moving Items" screen where synonyms for the to-be moved page(s) could optionally also be moved to the same area at the same time.

This request comes up from an earlier situation where I had moved a wiki page to a different (public) area but left a synonym behind. This synonym was residing in a restricted-access area. As a result, some people were unable to reach the (public) wiki page through a wiki link because the link pointed to the synonym.

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When moving a page, currently the single option given is:
Target Location: [drop down of Area names]

Under this option I'd like to propose a checkbox be added:
[x] Also move synonyms for this page to the target location