Frequency does matter.
In a power application for example... take a simple buck converter, Vout/Vin will tell you the ~ duty cycle, but the frequency will determine the "off time" (flywheel period during which current is flowing out of the inductor) of the converter. That "off time" plays a role in the inductor value and will determine the ripple current amplitude. A properly sized "power inductor" that works at 100KHz will not work at 1KHz... it will saturate. Frequency will determine max flux excursion and hence, max current capability.