B. C. Rider,
when I dis-assembled my china girl, I fount the stock puller will work with the small pinion, the sprocket(puller turned around(inside) and I believe clutch. I forget, could be wrong on the last, like Norm said, clean threads and a bit of lube, ensure proper engagement. I have a few more radical ways to remove that gear, but more parts would have to possibly replaced. BTW, much of my application knowledge is from NORM's guidance!
Mac