They have high forward voltage /drop/ which is a useful property. You drive them with constant current for constant brightness and improved lifespan which is most pertinent for LED light bulb replacements than it is for a simple signal status light. Fixed delay before standby isn't hard to enforce either.
Even so this whole attack vector isn't solved with this. How long should the light stay on for after the camera is put in standby before a user considers it a nuisance? 5 seconds? So if I turn my back for longer than that I'm out of luck anyways.
The anti-TSO means would be a hardware serial counter with a display on the camera. Each time the camera is activated the number is incremented effectively forming a camera odometer. Then if my previous value does not match the current value I know it's been activated outside of my control.
I meant the forward voltage (also not a constant one) in series with the actual load.