Of course, thats truly only correct for a resistive load (but, without knowing much about induction stoves, its probably within 10% - modern power electronics are amazing)
[1] Root Mean Square. Basically the measure needed to make a simply multiplication give you the power. Other ways to measure line voltage are
Amplitude. This would be the A in V(t) = Asin(wt). A = sqrt(Vrms)
Peak to peak. This is 2xA.
They’re all useful ways to thinking of the same thing. If you’re designing insulation you’re designing for A, or peak to peak. If you’re designing a water kettle, you’re interested in Vrms.
So, in the end, 90% of the time you're looking at the same cooking duration at the end of the day. So, you don't need that 120A load.
In other words, if the box says 5 minutes on medium, it's 5 minutes on medium. Regardless of gas, electric or induction.
I've checked the specs and my stove's burners are 3 x 18K and 3 x 15K BTU/h. Which is approximately 5K and 4K watt. Even one of the small burners is more powerful than the entire stove you mentioned.
I am sure an induction stove does not waste any energy and everything goes only in the heating the pan but I don't see how can this account for an order of magnitude in power difference.