LEDs are photodiodes, so will respond slightly to changes in ambient light. If the light is flickering, like say a fluorescent, this will appear as noise. The photocurrents will be tiny, and if they are biased with a mA or so, will make a negligble difference. Remember, we have chosen an LED because it has low dynamic resistance - the voltage changes very weakly with current. Once you have a lid on, the board should be in the dark anyway!
I can have a go at working out how big the photo-current might be, but it is going to be really small.
To convince yourself, try connecting the LED to a DVM on the most sensitive current scale, and exposing it to ambient light, then blocking the light. I would be amazed if it exceeds a microamp.