As usual these days I had no problems booting and running the 32-bit and 64-bit version of Tiny Core 12.0 on the H820C.
I also installed the 64-bit version of Tiny Core to the internal flash.
On delivery I found that the unit had been configured as an OpenWRT Router.
In checking out the H820C I did have some initial problems getting to boot what I wanted. I blamed this on it having a UEFI BIOS but subsequently it did boot from my standard (non UEFI) USB pen drives. There are few words on this under the firmware tab.