Not much benefit to making a DX wide-angle prime if the lens be reasonably fast. Zoom designs are slightly different and can be matched better to the format, yet again high speed implies a much larger lens even for a DX system.
When the focal length increases, the scenario becomes pretty confusing. For example, Nikon has the two DX Micro-Nikkors 40 mm f/2.8 and 85 mm f/3.5, both of which are quite compact in size. They didn't bother with any longer Micro as the size advantage would be small to non-existing. They do have FX and DX format 35 mm f/1.8 designs, but direct comparison is difficult as the DX version is a 'normal' lens and the FX is a wide-angle, thus the optics are very different. You could just as well put the FX 35/1.8 on a DX camera and regard that as a 'normal' lens, but then the design has not been simplified according to the smaller image circle to cover.
For long lenses, a special DX makes less sense as the size of the lens largely is set by the speed not the sensor size. A 300/2.8 is the same size whether made for m43, DX, or FX. For even larger formats, size may or may not change depending on whether the lens operates as a long 'telephoto', or 'normal' design. Of course, zoom designs again follow slightly different rules.