I am using the term the way it is commonly used in the literature: what I described uses only digital standard cells. The connections can be described in verilog trivially. The part of the full synthesis chain which maps logic to a choice of cells is not useful in this case, the automatic placement and routing are. Clock synthesis not so much. Here is an example of how people talk about this and diagram it:
https://fasoc.engin.umich.edu/