What is the specific medical diagnosis for your scalp, is it definitely simple dry skin (xerosis)? You can do more harm than good self treating a self diagnosis, several of the home remedies you mention are completely wrong for xerosis and could easily worsen it, they are for seborrhoeic dermatitis (greasy dandruff). All are potentially irritating so could worsen one or more forms of dermatitis. Treating a primary dermatological diagnosis is not the same as treating the same issue as a symptom of another disorder.
I have a healthcare background so have a basic knowledge of many of the most common health problems, but know relatively little about lupus so I suspect most here have even less knowledge. I would suggest you head over to one of the lupus charity websites, speak to a dermatologist, rheumatologist, registered dietician or other appropriately qualified medical professional.
2a-2c, medium texture, porous/ colour treated. Three years CG, growing out mechanical and chemical damage = breakage and very high porosity. Past armpit length heading for waist.
CO-wash: Inecto coconut
Treatments: Komaza Matani, coconut oil, Hairveda Sitrinillah
Leave in: Fructis Sleek & Shine (old), Gliss ultimate volume, Inecto argan
Styler: Umberto Giannini jelly, Boots Essentials gel
Experimenting with: going back to basics