Hi Mike,
That should work. I have a picasso II that has bad relay/switch. It makes a clicking noise but it doesn't hold the signal.
There were jumpers for segment/non segmented setup. I don't remember what the details were here, but you may want to make sure of the jumpers.
I hope it isn't bad like mine, mine won't display anything. Did the prior owner test it before selling it to you?
As a last resort you could run 2 screens, which is kinda cool, for your 2000. I did with my 2000 and Retina.