Not too much- I’ve had a couple (H120 and a different one a long time ago) and wasn’t satisfied with the lingering astringency, even when they were quite soft. I have mixed feelings on Nikita’s Gift (a hybrid). I did have a perfectly tree ripened one in the high 30’s brix which was pretty good, but it is very hard to know when it will be completely non astringent. I had some in the 40 brix area last year which were still astringent, even though they were pretty soft.
I don’t actually like the flavor on the H120, even when I managed to get rid of the astringency. But I can see what you mean about Nikita’s Gift- a lot more flavor than a crunchy 18 brix non-astringent. I’m growing somewhere between 4-6 NA (some are likely the same with different names). The last few winters have been warm enough, though it may not last forever. Even with GW, we may get a polar vortex that kills them all one of these years. But, in general, I like the simplicity of a NA- no need to jump through hoops trying to get it soft enough without going bad. And no risk of a mouth full of astringent persimmon. I generally only try to eat them if my wife is around, as she is more tolerant of it, so when I guess wrong I can give it to her…
I’ve been harvesting Il Mok Jae Cha Ryang for a couple years now, without knowing it was NA. Only a few weeks ago did I notice a comment in the Persimmons 2022 thread where someone mentioned it. Last year, I tossed it in with he other astringents without realizing. It wasn’t super flavorful, but it is indeed NA. I’ll probably counter ripening a few to see if they get better when not rock hard.
Note- I have a slightly off name in this one, based on my reading of the tape on the scionwood. I fixed it at the same time I found out it was NA.
I’m also growing Jiro, IKKJ, Tam Kam, Chinibel (likely Jiro), and Gwang Yang. I’ve harvested 1 IKKJ from a 1st year graft (small, OK), and a Jiro from a freshly planted potted tree (medium and pretty good). I also got 2 fruit from the same Jiro (very good) the previous year when it was still in a pot.
I lost a Chinibel and a few IKKJ from rental properties. Could be animals or just tenants 
But, they (and the ones I picked in November) hung a lot longer than peaches or something like that would have. I suspect that the animals are a bit squeamish about stuff they don’t recognize. Similar to jujubes, which only started disappearing in the last part of the season.
Though interestingly, I’ve seen animals eat astringent persimmons. At least part of it and not very often…
And I think I know why the Il Mok Jae Cha Ryang hasn’t been touched. It is grafted at the top of a tree containing astringent persimmons. I bet any animals would get to the astringents before the IMJCR and decide to try their luck on another tree.