Which country is geographically closer to Syria? Israel or Sweden?
They run to Sweden for a lot of reasons geography isn't one of them, and it's not because all of the other countries are hell holes.
They don't go to Israel because 70 years of government propaganda makes them think they'll eat their babies.
It didn't stop Israel from treating 1000's of wounded and many of them are not reported because crossing to Israel is a death sentence to anyone who wants to return to Syria or their families.