Set the default "sort by" in Live for each new gallery

When sharing a Live gallery with a client while shooting tethered, it's great that the last images come last. However, when sending a Live session for review and final selection after a shoot, it's usually more "natural" to have the first images first.
It'd be great to be able to set the default "sort by" for each Live session at any point in time or have an "In shoot/In review" mode that changes the default order of the images in the Live gallery.