I believe you can use any moisturizer that works on your own hair on braids. The one thing I would warn you about is if it is too thick, be careful about applying it to the base of your braids. Unless you're redoing them frequently, there can be knotting due to product build up.
I'm one of those weirdos that uses nothing. But I know of people who used S Curl spray (One of my idols, Adrienne0914), and then there are people who just follow Robin's regimen on
www.growafrohairlong.com Others just treat their hair in braids exactly as they do when it's out of braids, which is where your regimen may come in. I'm not a scalp oiling person, but if that works for you, then I say don't change it. Just be wary of product build-up.