Cycling is to establish bacterial nirite reduction to nitrates.. ( which plants can use ) I am not familiar with the tolerance of Chlorodesma with nitrites, but even if they can directly absorb and incorporate nitrites as some bacteria can, use of light will encourage other algae which can, such as the "slime" algaes ( red, and blue-greens" and in my opinion, you do not want them in the tank .
I have to agree with Lancer99, wait out the cycling, and get your coraline algae in the tank first ? If you intend use of cholordesma as a phytoplankton, why not grow them in a 2nd regugium. ??? and trickle feed them to your coral. ??