Interesting, I just looked at the F-connectors. The soldering wand says: "STSS RM2 121790" and the desoldering wand has: "MX RM8E 032700?" The "?" was a character I couldn't make out (it was partially rubbed off), and the "8" might not have been an "8", but I think it was.
I tried measuring DC resistance. The desoldering wand (including "tip") was roughly 15 ohms (note, I said roughly... its an old Harbor Freight redometer, which means 15 ohms could be .1 ohms or 30 ohms). The soldering wand showed open, however the tip itself was also roughly 15 ohms. So it would appear there is no DC path through the soldering wand/cable. If you need a DC path to ground in order to avoid amber, that would explain that problem. What a bummer, I thought the STSS and MX500 systems were interchangeable. Is there a way to make this work on both?
The other question would be why does it sometimes seem to operate for a fraction of a second and then stop operating, and other times it operates normally?
I've played with it a bit more since and found the following: The behavior seems the same between the two output ports. When the desoldering wand is attached (and selected) I either get solid green (correct behavior), nothing, or a green flash (or a few quick ones) followed by nothing. When the desoldering wand is either not attached or not selected, I typically either get solid amber (correct behavior), nothing, or an amber light (typically followed by the green light coming on for < 1/10th of a second) and both lights going out and staying out.
The problem may be heat related. The more often its switched on and off the more likely it is to come up with the lights off. If you let it just sit for a while it goes back to the random start up behavior. Also, it appears more likely to function when the wand is not selected (in otherwords, repeatedly switching it on and off with no wand seems to work better than with the wand attached -- albeit, not much better).