The LED should be connected to camera's power, or maybe camera's "enable" signal. It should not be operable via any firmware in any way.
The led also has to be connected through a one-shot trigger (a transistor + a capacitor) so that it would light up, say, for at least 500 ms no matter how short the input pulse is. This would prevent making single shots hard to notice.
Doing that, of course, would incur a few cents more in BOM, and quite a bit more in being paranoid, well, I mean, customer-centric.