The switch will "step-up" the current when switched into "6-ohm" to keep the amp safe. When this is done, the noise floor and distortion will typically increase.
Running the switch in 8ohm mode when you have only an 8ohm load connected will theoretically give you more headroom and better sound quality. Are these things audible? who knows.
Turborusty
I'm pretty sure that in the "6 ohm" position, it will step down the rail voltage. This would affect the max output swing and have zero impact on noise floor or distortion. The distortion may change depending on the load connected, but not on the rail voltage. I agree with you about the audibility of the switch position probably being nil.
Turborusty