I remember white/black-dithering (at even twice the dpi) being a lot smaller than the greyscale jpeg, when I was scanning documents. Greyscale was a bit smaller than full color, but dithered was a big step up (er, down).
If it's a full scale photograph full of grayscales that's been dithered, then it's a harder comparison to make. Because obviously a ton of useful detail is lost in the dithering, in a way that isn't with lines and letterforms. So the comparison would really have to be with a terrible, blocky JPEG super-compressed file. In theory the JPEG should win.