Hello, each time one moves a page in WP, the change of the title's page is registered in the corresponding Wikidata's item (e.g. : "Startup Studio" to "Startup studio", 23:52, 30 August 2019, on WP and "Startup Studio" to "Startup studio", 21:52, 30 August 2019, on WD). The wiki sitelink of the WD item's page is automatically updated by the system. As far as I know, this is a feature of the Wikibase.
I think that the system should not credit the original WP editor for a bot-like WD's update (the WD's history page should not display any attribution to the original WP editor). The edit message should be something like: "Automatic replication of a Wikipedia edit - reference.". The "reference" could be some infos about the WP's original update. It could be, by example for a frWiki's move: "Page moved on frWiki from "Old title" to "New title"".
NB: WP = Wikipedia / WD = Wikidata
All the best.