I tried grafting Izu, Fuyu, Hachiya, and Giombo this year (chip and whip). The success was not super but better for the chip. In terms of the variety success, this was approx it:
Fuyu
Giombo
Hachiya
.
Izu
I was grafting kaki to kaki. Izu was the hardest one, very weak somehow. The scions were from UCD, the rootstock was a grown up Hachiya tree.
With persimmons, the timing is everything. It seems you need to wait for the leaves to break out first and then graft. I did 3-4 grafts of each.
I also tried rooting the cuttings like figs. No go. They leaf out without any roots and die ...