A key criterion is what reproduction ratio is your goal.
I see the Rodenstock Apo-Macro-Sironar as the most different. Both the AM-ED Nikkor and the Schneider Makro-Symmar HM are symmetrical designs, and thus optimized for life-size imaging. Schneider suggests their lens as suitable for reproduction range 1:4 to 4:1. Both the Nikkor and Schneider have 55 degree coverage, which is 250 mm diameter at 1:1. Rodenstock reasoned that photographers usually take pictures of objects a bit larger than 4x5 inches, and made a slightly non-symmtric lens, optimized for 1:2, i.e., half-life size image. The recommended range for the Rodenstock is 1:5 to 2:1. At 1:1, the coverage is 60 degrees, or 277 mm diameter. So a consideration might be the size of objects that you intend to photograph. If generally larger than 4x5, the Rodenstock might be better.
If you want larger than life size images, reversed enlarging lenses work very well.