You can't drive an LED that way in production electronics: you need to use an LED driver circuit of some kind to ensure the LED has constant current, and also to protect against failure modes. Also, a capacitor large enough to power a daylight-visible LED for 3 seconds is not as "little" as you're thinking; there's likely not enough space in a laptop lid for one of those. A driver circuit would be smaller and thinner.

Agreed, however, that the LED should be controlled by the camera sensor idle vs. active voltage.