Big Spider usually spins immaculate new webs. I thought maybe that was just what her kind of spider does, but it turns out it's probably because she anchors her web on the clothesline and it's usually destroyed by nightfall. So, on September 23, I was very careful when hanging out the laundry and left the old web in place. Sure enough, she used the old frame for her new web. In fact, she didn't even bother to destroy the ragged outer edges.
It saved her a lot of time; she had this web done at least an hour earlier than her usual webs.