They are not the same.
Industrial machines are typically run by asynchronous 3 phase motors. They are indeed essentially a sine wave signal generator feeding a big powerful 3 channel D class amplifier.
Drones instead uses sensorless brushless motors (can also be called a permanent magnet synchronous 3 phase motor). These can't be run on a fixed frequency like asynchrnous ones can. So they have specialized control algorithms inside the controller to calculate the motors rotor position from the voltage and current, then use that information to apply the correct phase of the sine wave to pull the rotor forwards. They also have a startup sequence to get the motor spinning in open loop control mode, since the sensorless rotor sensing only works once the rotor gets up to enough RPM. The motor twitches erratically during this open loop startup, but that is okay for drones since they drive a propeller. In electric vehicles this is not acceptable, so those also have a positional sensor on the motor shaft that is used to get more accurate rotor position for better control down to 0 RPM.
But yeah the power stage is the same because 3 phase is 3 phase. The filtering is not essential for operation, but bigger drives will not pass EMI regulations without it.