I've posted this because Matt said so
Indeed, I think your suggestion makes sense. But still, if possible, a fix would be best. Imagine rendering an animation where you need the full 32 bit information for post-production glare or as an environment for lighting etc. I guess the atmosphere alone will not display the same HDR value as the sun would.
Also, you'll avoid all the posts from new users in the future asking why the sun is visible when it shouldn't be with the default settings. It's a bit puzzling...