If you do that, those things will likely be destroyed. Do you really think that shipping artifacts back to Syria is going to result in those artifacts lasting for centuries more?
Like what? Any middle eastern country is not a safe place for valuable historic artifacts. India and China, sure.
>Many stolen artefacts were in fact destroyed or damaged during their shipping to France or Britain.
How recent was this? If this happened in the age of sailboats, then I'm not going to hold it against those countries now; of course shipping back in those days was a lot more dangerous.