You're more likely to cause a problem by overdoing it at this point, you'll see wacky nitrates for several months until things settle in from the move and you bacteria get sorted. The live sand products don't have those bacteria, and they are pretty picky about getting moved around.
I mean, if you think it would be fun to add a fuge, go for it. But make sure it doesn't turn into its own detritus trap, definitely don't put caulerpa in it, and don't expect much nutrient removal unless it's close to 20% the volume of your tank. A lot of the time people credit them with more than they deserve, where leaving it alone would've accomplished just as much. But they are cute, and can grow some pods for your fish to eat, I guess.