I noticed the same thing when I added a fuge with the H380. In my case, my fuge is a 20 gallon rubbermaid barrel, so large by typical standards. Right after adding the fuge, the barrel walls became covered with GHA, and the nutrients dropped fast. I added some turbos snails to my fuge to help "recycle" the GHA and let my chaeto catch up and overtake the GHA. The walls of the barrel are ow GHA free, with just coralline and film algae (with alot of snail tooth marks in the film algae).
As long as your chaeto is not becoming covered in GHA itself, the chaeto will probably win out over the GHA in the long run. Remember to keep your iron levels up. I dose and iron supplement every day and find that it really helps to the macro algae growing. Just noticed that you are using Triton, the core 7 should be taking care of your iron levels, but for non-Triton posters, the suggestion of dosing iron still applies.
Dennis