Here's another success story: the backup chime was my least favorite thing about my new Niro, but with the instructions above I was able to install the switch in about 90 minutes. Huge thanks to ENirogus for figuring this out, Cory LaFountaine for clarifying how the wiring matches up and 3XG for posting additional photos of the disassembly process. Here are some more tips:
- I ordered these connectors from Amazon because it was a smaller quantity: https://www.amazon.com/dp/B081PVPZZM. I thought the colors were arbitrary, but they actually correspond to different wire thicknesses. The 10-12 gauge size was clearly too big, but I erred on the large side and tried the 14-16 gauge size because I didn't want to risk breaking a wire. But that was still too large to make contact and the switch didn't do anything on my first attempt. I tried again with the 18-22 gauge (red) connectors, and pulled the wire deeper into its slot after clamping it shut, and that worked.
- I used this switch mentioned above: https://www.amazon.com/dp/B07GTJBR59. It doesn't feel too big to me; I like that it can be unplugged from the wiring, so I can more easily mount it later; and the red light coordinates with the rest of the panel buttons. The downside is that the wires aren't very long and it just barely reaches down to the fuse box cover. I haven't drilled a hole to mount it yet, but I think it will be long enough to go into the top portion of the cover.
- With that LED switch, two of the switch wires need to go to the black wire in the car, but there's not enough room for two clips on the same wire. There are two black wires on the car plug, and I confirmed from the schematic posted above that both are ground, so I clipped one switch wire to each. I just now realized that I could have twisted the two switch wires together and put them into the same connector, which would have been easier and less bulky than using two connectors.