One other difference, which again isn't in the action but the barrels. A 682 barrel has venting between the barrels for quicker cooling, whereas the 686 and 687 are solid.
I'm currently in a project with Rich Cole and Ken Hurst. Rick provided the polished and in the white 686 action and forend iron and Ken is going to engrave it for me.
I'll send pictures as the project progresses.
At the end of the day, if i thought there was a true benefit to the 682 action, I would have used that, but Rich Cole convinced me otherwise.