The issue is that GPIO0_D6 (SDMMC0_PWREN) is left floating by current Linux devicetree configurations, but needs to be set to high or low in order to select an appropriate SDCard voltage. Armbian will need to be updated to set this pin corrently.
To get the current non-updated version of Arbmian running on a v3 (I've tested this), you can solder a connection between test pad 2302 and 3.3v to revert your Rev3 board's SD-Card slot to Rev2 behavior, which should work with all cards.
If you have a UHS-capable MicroSD card, you can solder a connection between test pad 2303 and ground to force the slot into UHS mode.
The test pad can be located on the back of the PCB, near the center. I've highlighted it in this drawing, in red: https://i.imgur.com/F9BCSkj.png
