The schottkys are in the heater circuit. I use them to make dc out of ac. They were chosen for their low forward voltage drop, which allowed me to make the following 3.0 ohm or 1.8 ohm resistor as large as possible. That RC filter makes a big difference in ripple. Using normal diodes would make that resistor value much smaller, hence a lot less filtering action.
The CCS are rather independent of this. The 1k - 470uF filter reduces the ripple even further to make sure the output current stays constant.
jh