Often, chopper amplifiers are used to sense signals from DC up to a few kHz (low pass characteristic). An example is chopped instrumentation amplifiers. DC servo loops are used to cancel differential signals from DC up to a certain frequency (which of course includes offset).
Therefore, chopped/unchopped amplifiers with DC servo loops are mainly used when only a range of AC signals is of interest (high/band-pass characteristic). They are commonly used in biomedical amplifiers (for e.g. EEG) due to the AC nature of these signals and to cancel the large electrode DC offset.
In the circuit you show above, it might also be that only AC signals are of interest. Then, the input offset of Gm1 will saturate Vout. the DC servo loop will then cancel the Gm1 offset.