This quilt is so special. These kind of quilts are my absolute favorites! I have a quilt that was left in my great-grandma;s basement as a top and my mom tied it off and gave it to me for my birthday, oh, ten years after great-gma died. We were all crying. It's my most treasured quilt, because it could never be replaced.
I agree with amma about making a label- future generations will be grateful for that.
And absolutely tied quilts count! I do it sometimes if I am in a hurry. I notice that they don't last as long, though- most of mine that are tied I am now slowly just adding hand quilting around the ties and then cutting the ties off. But we use our quilts really hard- I have a 3 and a 5 yr old- both boys. So the quilts around here get a little beat up, what with forts and picnics and the like.:-)