Controls work normally for me on a desktop

The first part of OP's page indicates

> Simplified flight physics: The flight simulator is designed for casual exploration rather than high-fidelity aerodynamic training.

Google made flying possible with 6 controls only, and it's a feature!

It works normally, but they indeed have no busines helping you prepare for ATP license exam with beautiful maps in the browser

It'a an arcade game and it's fun