I think you have to be careful sure, but I saw zero negative effects after six weeks of this regime in a 4x2x2 with lots of fish as well. The only filtration the tank gets is a 2x1x1.5 MM sump with lots of algae and about 60kg live rock. If a system is allowed to slowly evolve and build up the necessary macro and micro fauna needed to maintain such tanks, then really amazing systems can develop that are inherently much more stable than those run heavily with skimmers.
Tunicates are formidable filter filterers of water and should not be underestimated either, I reckon mine between them turnover my systems volume at least 20x per day, and every pass of water, they can successfully remove 25% of all the bacteria in it. I'm not going to say that I would recommend this approach either, as it just happens to be successful in my system, and there are a lot more things to learn about natural filtering solutions. I must admit though when I first read of ULNS systems my first thoughts were along the lines of they were an ideal part of a synthetic food chaon to support a much larger variety of creatures than conventional skimmed only systems. These are the tunicates I have.