Most corals are filter feeders, they dont ~need~ to be spot fed, they eat what ever particulate matter is available, in this sense they do not need to be fed, as they derive all they need from the water column.
If you have a small sun coral, or a less than super healthy frag, I would not suggest stoping feeding, just cutting back a bit, but in the end if the system cannot support the waste from the bio load you are going to have some nuisance algae.
Excessive waste=excessive pests.