Blue sponges (Halichondria) are different from tree sponges. They rely heavily on photosynthesis and nice strong light, like an sps.
Starvation is a common cause of sponge death. However, I just added it yesterday, so it wouldn't have starved that quickly.
Also, they are not white spots really. It's like the whole sponge lost it's pigmentation. If this is a sign of death, there's no cutting of bad parts that would save it now I'd imagine.