Shouldn’t a truly black suit, by definition, not reflect any (noticeable) colour in the presence of light? I haven’t really noticed my black suits reflecting green.
The way a color looks can depend greatly on context and expectations, for example on clothes sometimes a very slight blue tinge can make things look whiter
Midnight blue is common dinner jacket (tux) color if you want a very-black look in evening lighting. It has a blacker-than-black effect in the right environment.