I don't know where you are seeing this LIE, but any card with multiple power connectors will flat out refuse to work AT ALL if they aren't both connected.
Trying to run on one will totally mess up the power circuitry ON THE BOARD to the point the board probably wouldn't work at all and might FRY that power circuitry AND THE GPU AND MEMORY, even if it DIDN'T check for both connected in the BIOS code before the BIOS enables the GPU for actual usage.
This LIE is is straight from the manual..
The combinations are there..
I only use an 8 pin connector on each card.. working fine for me
Wierd card then, EVERY card I've worked with that had 2 connectors would flat out refuse to run FOR SAFETY TO THE POWER REGULATION CIRCUITRY if it only has one of the 2 connectors hooked up properly.