Well, if Paul Nelson is hanging around still, he can speak to this authoriitatively . As I understand IDists, though, the program is to show that undirected natural causes are insufficient to account for life, specifically focusing attention on “difficult cases” like the origin of DNA.
The fact that the tent holds special creationists both YEC and OEC, fine-tuning frontloaders like Michael Denton, theistic evolutionists like Michael Behe, Thomists like Vincent Torley etc suggests that any agreement must be over the “design” rather than the “instantiation” element.
Remember also that the first generation of TEs including Asa Gray, B B Warfield and even Alfred Russel Wallace considered evolution to be unfolding a design plan, natural selection notwithstanding. Wallace saw even the different properties of tree timber as being teleologically intended for man’s benefit, and yet was thoroughly wedded to continuous processes in nature.
The “instantiation” element must, by definition, be guided by the design (and to that extent arguably visible in the outcomes, as Asa Gray strongly affirmed against the alternative, undirectedness), but will depend on what science shows.
For example, take the “continuity principle” to which Jeff Schloss points (if, indeed, one can glean much about it from a mechanism he deems possibly “inadequate and implausible”, which was the very issue in dispute). If that principle points to lawlike chemical causes, then we’re in the realm of Denton’s fine tuning of the universe to life - and increasingly so the more contingencies have to come together to make it possible, for the alternative is that chaos leads to order without explanation.
If contingency plays a bigger part, in the sense of random mutations, statistically improbable chemical reactions and so on, one is in the realm of divine tinkering - in the crude, monergic understanding of divine action that many ideas and TEs seem to share - or of concurrence in the classical view in which God governs each and every event. To quote David Wilcox (again), chance is God’s signature.
That depends on what question you’re asking! If you’re asking “Did God design this process/eventuality or not?” it’s a foolish question, in my view - especially when the design stares you in the face.
If you’re asking, “How did God create this?” It’s also a foolish question, because creation is not a process, but a bringing into being: reproduction is a process, but the coming of a child into the world is an act of creation (final and formal causes) of which reproduction is just the tail end.
If on the other hand, you ask, “How did God instantiate this design” (which is about secondary efficient causes only, the proper business of science), then processes are of central importance. They need to be adequate and plausible, of course, or they fail the principle of “sufficient causation” for God’s purposes. But in and of themselves they say no more about design than a chisel does about Michaelangelo’s David.