I like both gas and induction but are you really comparing the equivalent equipment in your anecdote?
The cheapest induction range on us-appliance.com (FCFI3083AS) is $1000, and has a 3600w "boost" burner, or ~12K BTUs
A $1000 gas range from the same company (Frigidaire, FCRG3062AB) has an 18K BTU burner. That's significantly more power.