Esoteric K-03 / K-01 Leave Power On ?

Good Morning,

The Esoteric K-03 / K-01 have significant warm up time with multiple advanced power supplies and big enclosures. Is it best to leave them powered up with the display off for best performance? Or is some of the core circuitry powered on with just the power cord plugged in and power button off?

Best Regards,

Bill