I'm not an expert on them, but that's how I see it, yes. The Spartan for the 9" is different from the one for the D44 in that it is smaller and apparently reuses the stock side gears. So you would need to purchase 31 spline side gears for a 9" carrier separately, or already have one.
Funny, but they don't even list the 9" part on their own website. If you go to the distributor's sites however (such as ours...
http://www.wildhorses4x4.com/product/13149 in a shameless plug), you can find the listings.
I don't believe we keep them in stock (based on using their part number instead of ours), but you can see the difference in the overall design of the 9" style vs the more traditional Dana version (
http://www.wildhorses4x4.com/product/12549) that is the main dog gears with side splines included.
Paul