Fruits and Nuts: My beloved damaged persimmon tree (will green fruit ripen?), 1 by Horseshoe

Horseshoe wrote:
Howdy, Folks...

I was happily picking okra and tomatoes today, enjoying the nice wind, and at some point heard a cracking noise. An hour later I discovered the source, my treasured Sheng persimmon tree had two major branches fall off, one to each side of the tree. Shucks!

If any of ya'll are familiar with this Oriental variety you might know it is not as astringent as the American persimmons and doesn't rely on a hard frost to sweeten it up. However, I'm hoping someone will know from experience if it is worth picking all the green persimmons in the hope they will ripen.

I've Googled a bit and some sites say yes, others say no.

Question: Does anyone know, or have any input on whether these green persimmons will ripen off the tree? The tree is really loaded this year.

Much obliged!
Shoe (Who has visions of persimmon cookies, persimmon puddin', persimmon pie, in his head)