Currently when it's charging you have the battery icon indicate it's charging. I would think having the LED on all the time would be an annoyance for some since they charge at night?
If you tie it to the LED on/off, then you would have to turn this off every time, if you don't want it.
Adding another menu option for charging led is a option, but it makes the menu more cluttered unless you feel that would be OK.
I can certainly pass along your suggestions.
I might get booed for this, but I'm one of those people who charges my electronics while I sleep. My phone doesn't show me it's charging status either, unless, like the Radius I choose to see it. For me, I don't feel I need a constant or blinking light while my Radius charges.
If you do take this idea to engineering and you do come out with the option, I would ask that you make it an option a user can select to use, or not use.