Old OEM Dash Pad finish?
It is supposed to have a flat hue so it doesn't reflect onto the windshield. Just clean it with a mild soap. I liked the creme type GoJo that had lanolin in it. That and thorough clear water rinse is the only thing ever used on my 67 fish dash. It still looks new. I haven't searched for that in some time. Linseed oil is natural but does have a slight odor. Tea Tree oil is naturally anit bac' and anti imcrobe', and doesn't smell too bad either. So maybe remove the dirt with todays creme GoJo, Rinse well and let it dry good. Then start some oil treatment. I've heard some recommend a hand lotion. Makes some sense since vinyl is skin although artificial.