Not sure you'd call it an "inefficiency", but absolutely this happens.
Company A may own oil wells in Alaska and a refinery near Houston. Off the tankers go to Japan and Korea for the Alaskan crude, and in the tankers come from Venezuela to Houston.
Company A may own oil wells in Alaska and a refinery near Houston. Off the tankers go to Japan and Korea for the Alaskan crude, and in the tankers come from Venezuela to Houston.