Chosen Solution

Alright, not a perfect solution but way better than having to find the name of the connector and somehow replacing it. I cut extremely narrow strips of kapton tape, maybe 2mm wide at most, and layered two on top of the ribbon cable where it gets inserted into the connector. This made it thicker in this area, where the connector has been loosened from getting pulled open and somehow it works. I can boot up the console, poke the connector, press ZL and nothing disconnects anymore! Of course if someday I find the need to replace the connector properly I’ll do it, but for now this seems to work.