Generally however as long as the artifacts are in hands of a museum they're generally safe no matter how unstable the host government is. The only exception is when certain religious extremists gain power and go on an spree of cultural destruction like in Syria.
It's their stuff to potentially get destroyed or go missing. If they would rather take that risk upon themselves then so be it.
Perhaps something such as a country "owning" a river and deciding to freely dump nuclear waste into it which in turn causes problems for everyone.
I think that's an important point - they aren't being given that choice right now - if the British Museum decided to return all the Benin Bronzes then it's not inconceivable that Nigeria would leave them in the custody of the British Museum until it had a safe space to house them - or possibly loan them to the British Museum if there were doubts of the item's safety.