Jojoba "Oil" is not an oil but rather a liquid wax. I agree that I would think your hair would like coconut oil, but I do not really know why it does not.
I've heard good things about sweet almond oil.
I don't use too much oil as a 'low porosity protein sensitive' because in essence the hair shaft is 'sealed', and the battle is to get moisture in.
I hope someone else can chime in.