Yes, I am saying that. There are options for:
DRAM ECC enable
DRAM MCE enable
Chip-Kill mode enable
DRAM ECC Redirection
DRAM background scrubber
L2 cache background scrubber
DCache backdround scrubber

The full specs of my board are GA-MA770-UD3 rev 2.0 with BIOS version "FA", Kingston valueram ECC memory, Athlon X2 BE-2400 CPU. So tech support could be right for the board you asked about, though probably not.

While it's certainly true that most consumer boards don't have BIOS support for ECC, my Gigabyte GA-MA-770-UD3 does, so gigabyte probably doesn't lie when they claim support on other boards. (But these options are not shown if you don't actually have ECC-memory, so you could easily fool yourself when you check for it.)

Also my slightly older ABit AN-M2HD supports ECC. Both boards were bought with ECC in mind, it's not all that common. But it's certainly possible to get.

I suspect they have a capacitor large enough to finish committing their buffers. At least they seem to see little performance degradation with write barriers, and do retain all the files they should when I pull the power while writing. (I didn't do a proper test, but it seems to work correctly, assuming your OS does.)

(And for the record, any OS that still thinks anything the HD acks is written is living in a dream world, it hasn't been true for 15 years on consumer disks.)