Good question.
But hypothetically a coral that's completely photo-adapted to low light will only do well at low light. Depending on actual circumstances that's either mortally true or not true at all.
So maybe "photo-adaptation" qualifies as your answer?
Or...
- Branching morphology is supposed to reduce sun exposure, allowing those corals to compete better under higher irradiance levels.
- By extension, I think one could possibly assert that non-branching coral morphologies are better suited to lower irradiance levels.
All Corals Are Low-Light Corals!
To me it seems like many folks tend to want to blast their corals with all the photons they can muster.
Eco-evolutionarily, corals are predators from the deep dark deep. The only reason they come near the surface of the ocean is because they've been hijacked by a photosynthetic
parasite symbiont – not because they're necessarily good at being near the surface. Some corals are more good – some are less good.

But all corals I've seen data for are able to get all their light needs from VERY LOW LEVELS of irradiance – above those low levels it's all tolerance and coping for them. Stress.
I haven't kept many types at home, but I do keep a low-light stony coral tank (around 15,000 lux over a 19" deep tank) and can attest my experience with those. I haven't found any corals to have trouble so far.
Are There Any High-Light Corals?
I would suggest that the myth is the "high light coral". In bright light, there are only levels of coping with corals – it doesn't seem natural to them. Some are quite good at coping – amazingly good at it in some cases – but it's still coping.
Clams on the other hand....no such thing as a low-light clam AFAIK. They don't seem to be familiar with photo-inhibition at all, even under extremely high irradiance levels. They don't seem stressed by light. These are
true shallow-water, high-light creatures!