Lost antiquities

Sad Herakles before he was returned home to Turkey :-(

"Artifacts, just like people, animals or plants, have souls and historical memories," said Turkey’s culture minister, Ertugrul Gunay."When they are repatriated to their countries, the balance of nature will be restored." (Actual quote.)

So what happens if the antiquities don't get to go home? Can the antiquities influence people? Their environment? Do the other antiquities around them that are in their home lands feel for them?

Does time pass slowly for them or at the same rate as for humans?

What if their "historical memory" isn't a pleasant one?

What if the home they are returned to no longer feels like home?

If they have souls, do they have their own gods?