The right conditioners can wash grease just as well as any shampoo, I strip out a heavy coconut oilling no problem. Many will tell you co-washing is better for oilings than shampoo

Plus they don't strip and irritate the scalp as much as certain shampoos - sulphates, olefin sulfonates, anything alkaline - so sebum production can be reduced. Mine reduced the first week, but some take some weeks to adjust.

HTH.
2a-2c, medium texture, porous/ colour treated. Three years CG. Past bra strap length heading for waist.

CO-wash: Inecto coconut/ Elvive Volume Collagen
Treatments: Komaza Care Matani, coconut/ sweet almond oils, Hairveda Sitrinillah
Leave in: Fructis Sleek & Shine (old), Gliss Ultimate Volume, various Elvive
Styler: Umberto Giannini jelly, Boots Essentials gel
Flour sack towel, pixie diffuse or air dry.
Experimenting with: benign neglect