How to get tySplines look like particle bindings ?

[oumoumad]

I am getting the effect I want when I check "show particle bindings" from the Particle Bind operator.
Except when I enable tySplines and check particle bindings, I get a different look. (screenshot blue = tySplines, pink = particle bindings).
I have attached the .max file too.

Any idea how to get the splines to look exactly like the bindings, so I can render them that way ?