The shampoo looks good (it has a water soluble cone), but the condish has dimethicone (not water soluble). So, yes, the shampoo will remove them since it has coco betaine.
2C/ Coarse/ Normal porosity/ SW Florida/ Salt & Pepper
Cleanse: AIA cowash, TJ Tea Tree Condish
Condish: JC Too Shea, Tresemme Botanique
Stylers: flax/okra gel or KCCC + CJ PP or JC Spiralicious
Experimenting with Got2B Ultra gel and loving it so far!