Plants store their solar energy in a hydrogen-carbon bond for storage. To compare a plant with a solar panel and LED you need to also include the storage technology, which is usually batteries. Because plants do not as a rule glow brightly, a more apt comparison would involve, say, a locomotion system. Comparing the efficiency of, perhaps, a car that drives at night powered by a solar/battery system vs. a plant/combustion system. It would be an interesting experiement.

And yes, I know the dye doesn't absorb green. It's still a green dye; last I checked we name dyes by their reflected color.

You meant a "green, light-absorbing dye" (using hyphens to make the distinction clearer), the previous poster understood "a green-light absorbing dye".