Looking forward to Google enabling this feature. It would be best to enable it as a setting so users could choose their default:
1) Always hide document in Home when moving to a Collection, or 2) Never hide document in Home when moving to a Collection, 3) Always ask
I've been using Docs for a year and have been annoyed by the lack of functionality since the beginning. Recently an administrator in my workplace shared 30 documents with the entire workforce. It cluttered everyone's Home screen, even though the admin had sorted the documents into collections. Individual documents still appeared in Home. Very messy.