Most rebounding hammer guns do not have a half cock position. With a non-rebounding hammer you can set the hammer at half cock and easily bring it into battery upon the flush. Not so easy with the full cocking motion required on a rebounding hammer gun.

I've never had much luck walking around the woods with a fully cocked gun broken open. It scares me too much when considering a fall, and I leave a trail of unfired shells through the woods like Hansel and Gretel's breadcrumbs.

My solution is to just cock the right hammer on the shot and leave the 2nd barrel in reserve. As someone already noted, it's not a problem with ducks or doves as there is time to cock both hammers before the shot has to be taken....Geo