If you use a soap based shampoo bar do you need to change your styling products too?

I read something about the bars being unable to remove cones and was wondering if it can remove polyquats, PVP, etc?

I am trying a bar now but have been using it with my Aveda Be Curly Prep and Enhancer which have cones, protein, polyquat, PV/VA.
Using FIA: 2b/2a mix with a few ringlets in the canopy, straighter in the under layer by my neck. Thin in density, fine strands. Normal porosity. Hennaed.

Go To's: Aveda, Lush