All effects all work on a "grid" that represents the model. For the "Custom" model, the grid is relatively straight forward, it's how you layout the nodes on the grid. For the chase, it starts from left of the grid and moves right (well, depends on the direction you set). Thus, the "hook" of the candy cane makes things on the hook appear sooner.
As Kevin said, the best bet is a second model for you candy cane that is a "Single Line".
That said, this is an interesting feature request for the "Custom" model. I'm wondering if it would make sense to have two separate "Custom" types, the current one that is rendered in grid form and a "Custom/Line" that would display as per the grid, but the internal render buffer would be a 1x# grid just like the Single Line model. Hmm.....