Yes. Ice cream needs full fat products, unless you are making ices, sorbets and gelatos. If you are making coconut ice-cream, try using coconut cream in addition to coconut milk. I am going to try a coconut based recipe this weekend from the book I have and will let you know how it turns out.
So far our best ice-creams were berry ice-creams because that's where home-made ice-cream lkicks a serious BUTT! Natural flavor vs some crap.