I think I know the answer, after some contemplation on the drive home from work. The potential voltage across A-C (and thusly across D-S of the JFET) will be the same no matter where you place it in the circuit, at least given steady state circuit/load resistance...and thus the G-S bias of the internal cathode voltage divider (assuming it is just like the example schematic on that link) will be the same with respect to D-S.
At least I think this is correct and why you are 100% right. Still, it is worth setting it up that way, just to see what happens.
And without knowing how to check the forward/reverse bias of this kind of diode with a meter, per the earlier suggestion by another poster, he should set up a 25kOhm load resistor in place of the electrolyte, with the diode properly biased, and read his ammeter to see if it is conducting or if it is open, and to verify it is stable. He might even do it with the suggested potentiometer and vary it to see if it makes a difference.
>......Post verifying his CLD is functioning, I think he has several options.
1) Play with the various ideas dicussed here WITH the CLD, shorting it temporarily, placing it elsewhere in the circuit, etc. Those are the only two even REMOTELY viable answers for why this CLD may not work as expected, per the discussion. If we are surprised and see either configuration work where the other didn't, woo-hoo! Move on, live and learn. You have your solution.
2) If the CLD is functioning, but no configuration of the circuit permits it to work as intended, then it won't work, ever. So give up on it.
3) Explore other possibilities, the timer/potentiometer is one crude, easy to understand and implement solution. Past that, you will have to seek out a current regulator schematic employing transistors, feedback, possibly op-amps or other ICs and various reference and biasing components. There may be something simple that someone can come up with, but it might take some trial and error that requires some knowledge and planning to execute. I'm not sure the OP is interested in the design process as much as the final product, so a LAYMAN approach with the switch and potentiometer might be easier for him to work with.
Anyway, I'm all out of ideas. I am beginning to sense his frustration and I have a feeling I understand his urgency.
2)