Operating in CCM allows an inductor with lesser saturation rating.
Notice if you reduce frequency, then you have the Ampere waveform traveling a large range between crest and trough. That is, between zero and a high peak (DCM).
However by switching at higher frequency, the AC waveform traverses a smaller distance. It develops greater DC component (Imin in your diagram)(CCM). Nevertheless there's a benefit because peak current is reduced in the inductor. Its saturation rating need not be as great as for a slower switching frequency.