After my knowledge the persimons seem to take until - 4° Fahrenheit so don' t know what are the lows in your zone, so I think it s really an experiment which needs protection of the trees, especially if they are young.
I have persimon sharon and Jiro and this winter they took 3° Fahrenheit without problems.
Concerning taste I have never eaten a bad tasting kaki or persimon if they are full matured. I think the difference is the arstringence of much varieties if they aren' t full ripe.
I have persimon jiro and persimon sharon ( fuyu, with the first 7 fruits this year, but not tested yet to let them a bit ripening on the tree).
Good success Frank