This really is an interesting one. Can you confirm you tried popping the EMMC off to force RCM? I've had some Switches that are really sensitive to the length of cable from the USB port, so you may have a tolerance issue here.
I had a Switch with a similar issue, and I discovered the tuning crystal next to the PMIC was causing RCM to fail, although in this instance my machine didn't boot at all, whereas yours does....
NirSoft USBView tool would also confirm whether the driver is activating and the PC is detecting your Switch in the first instance.