Your recurve bow wouldn't fall in the primitive category but is the perfect way to start your traditional journey, we almost all started that way. First a recurve, then a longbow and finally a selfbow was the way my journey progressed.
I have to caution you; beware thinking about starting to make your first selfbow, you will be ruined for life, lusting after wood, laying awake at night thinking of golden shavings and imagining the perfect bow tiller you plan to achieve the next day. Then there are the tools; you will want one of everything, hand tools at first, then, power, the bigger the better, it's awful, RUN AWAY WHILE YOU STILL CAN!