Sparse, at best, here, this year.
Was out mowing the orchard yesterday - very few fruits on any of the persimmons - good crops last year, but almost none this time. Didn't notice any small brown aborting fruits as you described - but they may already have dropped.
Late, cool, wet spring may be at least partially responsible.
Seeing quite a bit of frost damage on ripening apples - don't know that I'd noticed what stage of growth/bloom the 'simmons were at when we got that last frost.

Thankfully, my young Nikita persimmon has two fruits. Last year I had one fruit and it was delicious. The Nikita is in a spot more exposed to cold compared to the Meader tree and so I remain puzzled by the aborted fruit problem.

I copied and pasted this information about immature fruit drop.
"Seedless fruit are very finicky and will easily drop from the tree if the tree en- counters growth problems or undue stress, such as excessive heat, drought, cold, excessive fertilizer or water. Hence, heavy mulch and good water management practices are essen- tial to reduce fruit drop. While these practices may reduce the loss of fruit, this problem can- not be completely prevented."

I am guessing that dry hot weather followed by cold wet weather with several inches of rain was the stress factor in killing this year's crop. Now I know and see that the situation was unavoidable. I will look forward to next year.

Here is a link that might be useful: Persimmon culture

I wondered after reading your comments about the immature fruit dropping, whether conditions for bee pollination were adequate during the window when the tree had flowers on it - ??

We had such a cool spring, that the fruit trees around here delayed budding/blossoming until much later than usual, which turned out to be a good thing (avoiding frost). But on the flip side, we had nippy days return several times while the flowers were open and ready, and I was a little surprised to have the amount of successful pollination that actually did occur.

If bees are sluggish getting around on cold days, could that have an impact, also?

I watched my two persimmons almost daily during spring to see whether they even had flowers, and then agonized whether the bees would be lively enough on cool days to travel between the known male tree and my yard, to get the job done. There are a lot of honeybees and bumblebees around my house, though, so there's healthy competition for the blossoms available.

Do persimmons form fruits if the flowers haven't been pollinated? I wondered if they were like pears, that form a bunch of little green "starter" fruits at first - then some shrivel up and fall off among the same cluster of others that are getting bigger and heading toward maturity.