Yes, fuyu you can just eat. Or let them sit until a bit soft and they’ll get a little bit sweeter and richer, but not a huge amount.
@Sean If you ever try one and it is still astringent, then just put it in the freezer for a few days, then take it out, thaw it and chomp away - or more likely slurp. I’m not sure how well freezing works for very unripe, but I’ve done it several times when I was counter ripening and tried one a bit too early and it works great. Actually, if they’re cut in half when you put them in, you can start spooning as soon as they slightly thaw and it is almost like a sorbet.
For folks trying the alcohol treatment, I think it does need to be hard alcohol of 80 proof or more, since you need the air inside the bag to be pretty highly saturated with alcohol to have it affect the persimmons.