I have both the 60mm and 56mm lenses that I use with an X-E1. They are both excellent lenses. I wanted a portrait lens and at the time the only option was the 60mm lens. I also needed a close focusing (macro range) lens for product and detail photographs.
The 60 mm lens worked very well for both product and portraiture. Shooting between f2.4 to f4 worked just fine and reveals beautiful results for portraiture. The lens is relatively slow, but that is the nature of all macro lenses and in the manner I used it there was no problem. For maximum sharpness, don't shoot any smaller an aperture than f11 or you will quickly see the results of diffraction. F11 was just fine for anything I needed for showing detail. Consider this equivalent to the Nikkor 105, which I have also used extensively. They are very similar in handling and results.
The 56mm lens is the APS-C equivalent to the Nikkor 85mm f1.4. They are both exquisite lenses that can produce superlative portraits. Focusing is pretty fast and then sharpness is unsurpassed. It doesn't focus as close as the 60mm lens. Duh. Different lenses for different purposes.
I will keep both lenses for their particular attributes. The 60mm worked as my stopgap portrait lens for about two years until the 56mm was available (and on sale). If I was going to go street shooting with this range of lens, the 56mm lens would be the obvious choice and works well. The 60mm would be too slow. The 60mm's number one job is to be a macro lens, so that's the order of its priorities.
You can't really lose by using either one as long as you understand their characteristics.