Induction burners are extremely efficient (>80%) vs something like 40% for gas burners, so the induction would come ahead in your example (1400W vs 1100W).
The cooktops you can buy here in Europe are limited to 3.7kW, and you can bridge two burners for up to 7.4kW. I rarely use one burner beyond ~70% power, anything above gets scorching hot (= burns everything) when using a good iron/steel pan. I heard the US has the infrastructure to deliver 240V so that should be possible.