Whoa! It sounds like people are talking about two different things here. Let me see if I can clarify or maybe confuse even more
1. a localizer-based approach is flown with the localizer needle primary.
2.A GPS course is a GPS course is a GPS course. Always "to" something. It's always normal sensing. So if you are following a GPS needle instead of the LOC, there's no translating going on. It's a GPS course, not a localizer course, so reverse sensing is not an issue whether you are using a stand-alone CDI or a HSI. (I won't get into the issue whether or not yo are allowed to substitute GPS for a LOC).
3. A HSI - no matter whether associated with a digital PFD or or completely old school - operatives differently than a stand-alone CDI. With a HSI, there is no reverse sensing issue. You set the course to the LOC front course. The head of the needle points in the opposite direction, but the needle senses normally. Needle left, turn left; needle right, turn rit.