That's not a CCS. That's a zener regulator with a source follower output. The current in the zener is set by a CCS but the power to the opamp is not provided by a CCS.It uses similar power delivery with CCS using MOSFETS. The author claims better sound when using them.
Tom
I use a toaster oven and a thermocouple thermometer. Works well for prototypes.SMDs are much faster to solder. I got myself soldering hot plate and its nice!
Tom