What is the advantage of having a choice of receiver filter bandwidths in a multimode transceiver?
Why A receiver filter passes only a slice of spectrum to the detector, so everything outside that slice, noise and adjacent signals alike, is rejected. Matching the filter to the mode's actual bandwidth lets the wanted signal through while throwing away the rest: roughly 500 Hz or less for CW, about 2.4 kHz for SSB, and 10 to 15 kHz for FM. Using a wider filter than the mode needs just lets in extra noise and interference with no gain in readability.
Watch out Monitoring several modes at once is not what multiple filters do; a receiver still demodulates one signal at a time, and the filters are alternatives, not parallel channels. Memory count and transmit offset are unrelated functions.
Filter bandwidth = mode bandwidth. CW narrow (~500 Hz), SSB medium (~2.4 kHz), FM wide. Wider than needed means more noise.