Rectifiers are actually diodes, but with ratings and packaging (multiple diodes) that make them suitable for rectifying applications.
For reverse voltage protection on output of a power supply, schottky are good because they conduct at a much lower voltage than silicon, so are more likely to protect the rest of the circuit. However, the max required current limit needs to be considered, so the diode won’t blow. What external device could be connected in reverse, and how much current could it source? 1A 10A 100A?