My eyes goes beserk after seeing these time tables, LOL.
I like your moon lights but I always have no time to install one. Now I gave up, LOL.
Isnt moon light is for night and when the sun is down?
The light is only 4hrs so it is considered too less. Suggest you to schedule it to 6hrs on/off. 15 mins before main lights off, moon light is turned on and moon light turns off after main lights on for 15mins.
I suggest refugium to have 13hrs on or follow the schedule as the main tank.
At night, the nature's water chemistry is different so it is better to follow that: maintain all lights in the main tank and refugium to switch on/off at the same time. If you have too much algaes in your tank, better to have some decent flow of water or you can use the skimmer as an aeration help. This is because at night, the bacteria and algaes produces alot of CO2 and consumed O2. I have used my skimmer to boost the O2 level instead of skimming for many many yrs. If no skimmer, perhaps a small air pump?
Hopes this helps.