Hi @klambert ,
Thank you for posting in this community.
It seems this is not a common issue per my test. However, we can work together to narrow down and resolve the situation. So, Please kindly provide more information below to let us work further.
1.Can you tell me in detail the steps you took to share this Word document?
2.Check what permissions this user has at the site permission level and library permission level(SiteA and SiteB).
Steps: Site permission->Advanced permissions settings->Check permissions
Please let me know the results to help you rule it out further.
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