Interesting one this.....
The english name for this plant is/was greater reedmace, however when Sir Lawrence Alma-Tadema painted "Moses in the Bulrushes" he painted a clump of reedmace (Typha latifolia) and not Bulrush(Scripus spp.). Due to this error the name became commonly accepted as the common name for the Typha spp.
The original Bulrush has since been renamed Clubrush.
Personally though, I like to call both plant by their original names.
And just to confuse things further, Cattail is a N. American name for Typha spp.