I have some new wiring runs and was doing some checking before connecting to mains when I discovered that a 9V battery was pushing 25 or so micro-amps down a circuit that was supposed to be open, as nothing was plugged into the GFCI outlets and and lamp sockets were also empty. This was causing a reduction in voltage due to the battery being loaded. Looking further, I found that each GFCI (there are 3 in parallel in this circuit) had continuity from live to neutral and showed a resistance of about 360 Ohms on a DMM, causing about 120 Ohms at the end that is supposed to go into the breaker panel. The GFCIs are made by Pass & Seymour (also says Legrand on the box). Their website doesn't address this issue. These are their "premium" line and have an LED on the front. A Leviton GFCI without any LED shows an open between the live and neutral.
I don't know if all the GCFIs I bought can be simultaneously defective; or whether the LED or their current monitoring circuit us causing the continuity. 360 Ohms seems an awfully low resistance to show to 120V AC. Is the behavior under DC different than AC for a GFCI outlet? Seems pretty spooky...