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I run moon lights on my 220g planted for several hours a night, for over a year, and they do not promote algae growth. I've used them for years in both fresh and salt water tanks. Moonlight LED's have such a low output of light they don't have the ability to promote any type of growth.
I would think that your main lights would promote more algae growth. I use moonlights because I like to see my fish when I'm home, but I was getting more algae growth leaving the main lights on too long. I have a 55 with a marineland hidden led, and a 20 gallon with TrueLumen blue LEDs that stay on 24/7, no algae what so ever in the twenty so I don't know what the people are talking about when they say moonlights cause algae