I partially answer my question with this excerpt from the University of Kentucky:
“There is a 90-chromosome American
persimmon that is native to the northern U.S. and
a 60-chromosome type that is native to Kentucky
and the southern U.S. Most of the named
varieties are of the 90-chromosome type. When
named varieties of the 90-chromosome type are
grown in Kentucky and are pollinated by the
60-chromosome type the seeds abort and many
of the fruit are seedless or have
few seeds. A few American
persimmons, such as ‘Meader,’
are self-fruitful and will set
seedless fruit”
We should only have 60 chromosome trees here, so Prok should be seedless!