Randy summed it up quite nicely, as usual!
Really, other than adding another piece of equipment (and therefore, a bit more complexity to your system, in terms of hardware), there is nothing inherently wrong with using ozone in any system, IMHO. Ozone is a useful tool, if not abused (LOL)...the reality is, Triton's "method" relies on very conventional, long established, and very simple techniques for nutrient export (i.e.; use of a macro algae "refugium"-type sump, activated carbon, etc.), and really have not advocated additional equipment or techniques simply because the idea is to keep things simple.
-Scott F.