The K2-CNC setup appears to be using two custom PC boards as breakout boards for the KFLOP. The KFLOP board appears to be the last board on the stack closest to the power supply. You might need to take the stack carefully apart take a close photo of each board and then put the unit back together. Did they also provide you a schematic for the control box or the entire machine? My guess is the relay that turns on the spindle fan is on one of those two breakout boards in the stack. When you using Kmotion.exe to toggle bit 13 could you hear a relay clicking? The vast majority of your machine is working so do not get too concerned that you have major issue, I am certain this can be fixed without a huge amount of effort.
Russ