Hi jcorbitt,
It is hard to tell without a scene file but easy to check: Only the points (vertice) will interact with objects. If the object (collider) is between two points, it will have no idea about the collider.
A lot of great tips about Spline Dynamics have been given by Chris Schmidt. I think he has covered this them like no one else.
https://www.cineversity.com/vidplaytut/siggraph_2016_rewind_-_chris_schmidt_creating_advanced_controllable_dynamic
It is no secret that I prefer manual animation over dynamics, but I get the idea of having that automated.
A rig of some nulls combined via MoTracer to a spline is often the fastest way to control it.
All the best