The help says:
Open with automatic tiling tiles the windows in the set when they are opened as windows rather than tabs in a workspace. It also ties the scrolling of the windows or tabs.
which doesn't quite sound like what I want either (not that I understand how to open them "as windows rather than tabs"!) - I don't want tiled windows, I'd rather what you'd get by repeatedly clicking the "Add pane" buttons on the right of a search tab.
Is it possible to do this? At the moment it's not a hassle to change one module as I move from the OT to the NT, but if I put together more complex sets, it's going to get unwieldy.