Pears are my favorite fruit to grow and to eat. Like Prof Kent said they will continue to ripen after picking.
I usually start picking for the family when I see a few fall. My all time favorite eating pear is Kieffer just right sweet and I love the firm crunch. I like picking one or two on the way to my tree stand.
Native, I’ve had the same experience as you with my Moonglow. I’ve tried to like them but whenever I’ve had them they are kind of mushy, extremely sweet pears. I just don’t like the soft texture off the tree. They are a great pollinators and wildlife seem to really like them they never last.