You're right if it's a motor - mostly. Hz determines RPM. if so, they generally list the RPM at the frequency.
anything with a SMPS inside dgaf about the frequency, and barely cares about the voltage.
or a universal motor - those used to come name-plated for DC-60Hz, or 0-60Hz too.
with something like this, there's a lot they're leaving out.
this one is more honest:

47Hz at 100V, 63Hz at 250V, right?
and then there's this one that pulls 820W to put out 330W.
or this one that can run at 200V, or on a 277V lighting circut, but you better get the frequency right for the voltage, or else!
Lesson #B: all nameplates are lies. unless it's a synchronous motored clock. I never understood how 50Hz countries can think 50Hz makes sense with 60 seconds in a minute!