Next Tuesday, the 16th, will be the 29th day of GTC and I would avoid it for relisting because I feel that so many sellers will be cancelling and relisting in bulk that there is a good chance of a system overload or shutdown.
I also expect that next Wednesday, the 17th, this discussion will be overloaded with complaints from sellers that have gotten caught up in GTC auto relists and get billed for unwanted listings.
Those two days will negate any search value for "time ending soonest" as sellers will be too busy taking care of their own listings to be buyers. As GTC cycles in the future, I am expecting to see an overwhelming number of listings ending in bulk at exactly the same time and day. Should be interesting over the next couple of months as we adjust to these changes.