What is the role of Creator vs. the role of the deep subconscious in executing a DSC TR healing? Does the deep subconscious alone connect to and choose the traumas needing attention, or does Creator routinely help identify those that are most important?

Here you are hitting on a quite important delineation. Unless stated otherwise in the instructions given, the deep subconscious will be on its own to tune into the target issue, and then seek the underlying connecting threads to times and places of important karmic trauma that is feeding the problem. And, having done that survey, it becomes the focus of all subsequent steps to carry out the healing. Creator is, of course, providing the instructional interplay between practitioner and client and helping to guide the deep subconscious in doing the right things, particularly with respect to the healing. And that is because the practitioners are holding human intention for all the healing maneuvers and associated instructions to be delivered and acted on as requested. But other than requesting work on a particular issue X, the practitioners are not holding specific intentions for how that is to be further explored other than inviting the deep subconscious to tune in, perhaps using feelings in the body as a cue to trace or invite younger selves to come forward who have ever experienced the consequences of the particular issue of concern, but all of those invitations are relying on the deep subconscious to make the decision about what is important and what is less so. The free will of the deep subconscious is therefore in the driver's seat and Creator must let the work proceed from there without intervening unilaterally.