If I remember correctly, the RR is an aplanat -- free of spherical aberration and coma.
The anastigmat is free of spherical aberration, coma, and astigmatism. Traditionally, using symmetrical triplets afforded the extra degree of freedom over the RR's symmetrical doublet.
What that means is that the anastigmat design can be pushed faster while keeping good correction off-axis. The speed of the RR design is limited by uncorrected field curvature...especially considering the glass types available back then.
From a design standpoint, if you have a curved image plane then both designs are equivalent.