I have always questioned the idea that mangroves don't help. When measuring export, we should consider dry biomass. If you remove and dry the additional growth of algae, it's pretty light and not much there. If you theoretically remove the additional stem,branch, and leaf growth from a mangrove in the same time frame, there's a lot more mass there. Less water and more dense biomass.
That said, I think there have been studies where mangroves were added, and there was little change in nitrate.
Either way, I wouldn't rely on either for filtration alone.