Not knowing the approach or the place it relates to, I'll simply offer an alternative thought. I've seen instances where an approach, usually in difficult terrain, starts with a lead-in or initial segment (pethaps with a reversal), that requires initial tracking by reference to the VOR, to a distance defined by DME. In the Intermediate segment and/or after the reversal, it is necessary to track via the LOC (LLZ?) to a specified DME distance, where GP intercept occurs for the ILS precision segment.
I'd hope there aren't too many procedures like that, but I can imagine it as a possibility. Just thought I'd throw it in for further contemplation. Might be easier to describe the procedure to which the title refers.