How about this for sensing?
In a normal floating-gate MOSFET, you get a current flow from source to drain when there is a charge placed in the floating gate and you apply a voltage to the gate and source (it creates a repulsion so the electrons can "skate" across the transistor surface from source to drain).
In this system, there are four possible states for the gate: 00, 01, 10, and 11. At 00, no charge flows. At 11, charge flows freely both ways (just like a regular MOSFET). In state 01 (no charge on the "left" side, charge on the "right"), you'd probably get no current left-to-right, but you would be able to push at least some electrons from right-to-left out onto the gate surface, probably creating a measurable capacitance and/or very small current. In state 10, you'd have the opposite effect. You could use that to tell which side was "on" and which was "off".
Edit: that second patent is definitely this technology. Here's their (poorly worded) description of the read process:
...reading said first bit in a direction opposite said first forward direction by applying read voltages to said second region and said gate and grounding said first region, and subsequently determining if said first binary value is stored by sensing a first current between said second and said first regions or if said second binary value is stored by sensing a second current between said second and said first regions, said second current being higher than said first current;
reading said second bit in a direction opposite said second forward direction by applying read voltages to said first region and said gate and grounding said second region, and subsequently determining if said third binary value is stored by sensing a third current between said first and said second regions or if said fourth binary value is stored by sensing a fourth current between said first and said second regions, said fourth current being higher than said third current;
Looks like you read the left side by applying a voltage to the gate and looking for a current running from right to left (right = source, left = drain) above a certain threshold. Flip it for the right. Sort of like what I was talking about, but I think I had the directions backwards.