A pipeline through Jordan to and Israeli port, would get around Iran's perennial threat to shut the Straits of Hormuz.
A Strategic benefit.
The old Trans Arabic Pipeline (Tapline) was still there during the Gulf War - I spray painted Some "Kilroy Was Here" graffiti on it, like my Dad liked to recall doing in WWII.
The route is already there, all the way to Israel's Golan Heights, so they would just need about a 50-100 mile right of way to the coast (and refurbish the existing old pipeline). The old Tapline terminated in the Port of Sidon, Lebanon.
According to Wikipedia: "At least one analysis has indicated that the transportation cost of exporting oil via the Tapline through Haifa to Europe would cost as much as 40 percent less than shipping by tanker through the Suez Canal. In early 2005, rehabilitation of the Tapline at an estimated cost of US$100 to US$300 million"