One cause of an erratic idle on the CDSE's can be deterioration of the sealing washer at the screw end of the bypass valve assembly.
If you disassemble the bypass valve(s), you can lightly grip with needle-nose pliers the brass adjuster from the inside & withdraw it. There should be a screw head on the other end, with a rubber washer around it.
The rubber washer can deteriorate, especially if the bypass valve has been cleaned in some parts cleaner without replacing the washer. Or even just from age.
My rebuild kit from Joe Curto had the correct replacement washer.
If your bypass valve is one which has the brass plug in the end so that the screw head is not showing outside, it is very easy to tap out once the adjuster is extracted as described above. You will need the screw head exposed to set the carb(s) back up when back on the car.
Setting the bypass valve back up after disassembling it is I think described in the BL emissions booklet which also shows/describes the float chamber valve on the CDSEV. If you don't have that booklet, let me know & I'll locate my copy & instructions.
Also, it may be further than you plan to go at this stage, but the throttle shaft should not be scored, & new seals should be in place if the carb body has been soaked in parts cleaner.