The gadget removes link from the old item but it doesn't add it to the new item.
Ex. Moving from Q25161354
https://www.wikidata.org/w/index.php?title=Q25161354&diff=922401925&oldid=922401824
but not adding to Q1144326
https://www.wikidata.org/wiki/Q1144326
Look also reports
https://www.wikidata.org/wiki/MediaWiki_talk:Gadget-Move.js#Partly_broken and
https://www.wikidata.org/wiki/Wikidata:Contact_the_development_team#Move.js_partly_broken
Thank you