The advantage (to me) of the Peak is the ability to see the edges.
The two case that come up most frequently for me are:
1) Negative curvature. The peak allows one to get the focus spread on the baseboard, from center to edge. I always try to use a non-glass carrier if I can get away with it.
2) Flatness of field. When using a glass carrier, you really can tell the magnification for which an enlarging lens is optimized by observing the focus spread from center-to-edge at various magnifications. For example my 300mm Rodenstock does not have (nor is claimed to have) a flat field at 1:1.