Linda, thanks so much for your thoughtful response.
I just had another "ah ha" on this. For charity kids' quilts, which are smaller than the adult quilts I mostly make, there is a quick quilt called a Strippy Quilt. It is literally strips of fabric down the quilt, something like 1600 quilts but bigger strips and coordinated more. I would make this quilt with fabrics kids would like that are 6.5 inches wide by WOF, since I have a 6.5" GO die. But instead of attaching both front and back each time, plus batting, these quilts are small enough that I could glue baste the batting to the backing, and then use the method above to put the right sides together of each 6.5 strip, thus quilting (partially) as I went. That would be very fast. Then a small amount of other quilting would finish the top, and it is ready to bind either traditionally or with fold-over binding.
Linda, yes, it would be quicker and less work compared to other methods of QAYG. However, for me it is more than that. I have a small house. My sewing room is downstairs in the basement, and since building it there, I've had some serious injuries that disabled me. Stairs are hard. The only table I can use for basting is the kitchen table, upstairs, and that means going up just to baste and then down to quilt. On a good day, my knees can handle one trip up and one down, but not two, so things wait. I have more than 15 tops waiting to be basted right now. If I could do the basting as part of QAYG, I would only have to assemble some kits and then could do all the work upstairs where there is one machine in a cabinet as opposed to my full quilting set-up downstairs. I don't have the room to handle regular quilting upstairs and the Singer 500 would not be my choice for fmq, but I can handle this. I can't thank you enough for posting this link and answering these posts.
Cricket