Cable and Conduit connectors share the same design requirement in UL514B. They both need to have a radius or chamfer on the inside throat edge of the fitting. This is to prevent conductor insulation damage during a pull or installation.
Conductors can be damaged in a cable fitting (that has a sharp inside throat edge) while making up the terminations and manipulating the conductors. Once the conductors are static, there really is no chance for additional conductor damage.
The primary design intent of a bushing is to protect the conductors from abrading on the inside edge of Rigid conduit during a pull. Workmanship standards dictate that after conduit threading, the ID edge should be de-burred properly. However, in practice, this does not always happen. With conductors smaller than 4AWG, there is typically less pressure applied to the ID edge of the conduit - therefore less likelihood of conductor damage. With 4AWG or larger, the typical pulling/abrading forces are much higher and even a gently de-burred edge will seem as sharp as a razor blade to conductor insulation.
Personally, for any conductor larger than 4AWG, I like to see a bushing used - even on a cable fitting (assuming there are at least 2 threads left after the locknut is on). This is mainly due to the inconsistent quality of many cable fittings on the market. On quality cable fittings you would not need one because the ID edge is properly and consistently relieved - you can feel it with your finger. However, on some fittings there is a very sharp edge, which probably does not meet the requirements of UL514B.