While the linedef 16's front X texture offset does indeed match up with the first Transfer Line's Order value, it's the only linedef 16 in the map, and it's tagged to every sector of the minecart track. You need to make another linedef 16 for every consecutive Axis/Transfer Line, and the linedefs should be tagged to the sectors that you want the corresponding Axis/Transfer Line to follow.
Here's an example map to show off what I mean: