Books/Codexes (Codices?) etc can be placed on UNESCO's "Memory of the World" register. As well as preservation this has an objective of dissemination so presumably (??) items on it are made available electronically. Some are enormous archives - I don't think there is any requirement for them to be "on line" prior to inscription - whether there has to be an agreed objective to make them so for "free use" at some time in the future I know not. I suspect most items placed on this list are within national collections though UK has just added Magna Carta and 2 copies are in the ownership of the Church which might have been expected to hold views about copyright and its "value" - that owned by the British Library was already available to view on line.
We have had earlier discussions on this forum about the fine line between "moveable" and immoveable. The most (in)famous bit of case law on this was UK's attempt in 1988 to gain inscription for the SS Gt Britain. Weighing in at c2000 tonnes and sitting in a dry dock in Bristol it is never likely to "sail" again but was excluded as it was intended to be moveable. Somewhat illogically the Cutty Sark built in Dumbarton in 1869 is part of the inscribed site of Maritime Greenwich - like SS Gt Britain it sits in a dry dock (albeit somewhat "singed" after its fire the other year.) but was ok to be included apparently as part of a bigger site
The Statue of Liberty was built in France and was part assembled and put on display there before being moved to USA but this was OK apparently as "moveability" wasn't part of its purpose. We have a "connection" for items within WHS which have been moved - it includes complete buildingshttp://www.worldheritagesite.org/tags/tag350.html
There is also an interesting issue about the moveable contents of buildings -are they inscribed or not? There are 2 types of contents - collections as in museums and the intended contents of buildings like the Palais Stoclet. Isues about selling any significant number of objects from within are unlikely to arise with museums but could arise in a case like Stoclet. Why shouldn't the Stoclet owners legitimately move and sell (all or some of) things which belong to them? How "essential" are they for the OUV of the building? Can/do they have the same protection?
Also - Thinking about it, the mere inscription of a site/building as a WHS makes no difference at all to copyright issues for images of that site/building. There are are many WHS which prevent photography inside the site/structure. This could be justified on the grounds of "protection" (from flash etc) and crowd management - but it does often also seem to be to protect the copyright value.