@influxensa first, yes it should do nothing!
I'll be slightly more correct than our FAQ:
Monitors use a chromaticity called "D65" which has a tiny bit more green in it than 6500K does and is also around 6504K, and basically every display in the world is calibrated to show this color as white. When you ask f.lux to use 6500K it really uses D65....but that's why it does "nothing".