I agree with GreenArcher,the E2e lanyard hole is a joke. The smallest split ring I could find sits perpendicular to the clip. Even worse, the light balances at an awkward angle, almost perpendicular, rather than pointing down. This makes it impractical and uncomfortable to hang around the neck. Somebody at Surefire wasn't thinking.
The lanyard holes need to be enlarged to allow a split ring to freely rotate. And the holes needs to be positioned closer to the head allowing the light to dangle closer to the vertical.
As you say, the stock clip does put the hang point dead amidships; see pic with wrist lanyard below:
One alternative is to get the long clip which will give you a good bezel down hang. If you want a bezel up hang, I think the modified small clip where it is converted into a Lanyard loop is the best solution.