At English Wikisource when a page is moved part of the message is
You should also update **the associated Wikidata item** to maintain language links on moved page.
(component in asterisks is a link to WD item)
and this component is added by the system. With how the system has been updated, when moves are undertaken there is the update taking place at Wikidata under the account of the person undertaking the move.
Can the text be updated to better reflect today's reality? I was thinking something like ...
Your move should now be **updated in the Wikidata item** language link, we ask that you confirm this has occurred.
Thanks for your consideration.