I think this is a very good point. I would guess that for most people this would be more useful. Implemented well, you could see that Skype or Transmission or whatever was in Offline mode and connect your computer to the network without worrying whether it would start doing things in the background, for example.Nope, certainly not with many applications. After all, most applications don't require you to have a window open to be running, doing some type of tasking. ...
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However, the idea of simply not knowing if an app is running or not isn't a huge deal, but I would propose Apple may consider a third option: App indicators that show the actual action being performed. ...
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For a good example of this, look at Transmission. I don't really need to see the app indicator to see if it's open and working, because it puts a badge on the icon indicating upload and download rates. If every app had this, then the app indicator lights would be become basically irrelevant.
jW
It might be hard to have consistency here, since the visual indicator would probably be different for each program.