So, is that why it is called "inverter" because it uses the logical inverter transistor configuration (PMOS at top and NMOS at bottom)?
Well, the logical inverter is not a good circuit design for sine wave generation. If you say PWM generated sine wave, then the noise from this thing is awful.
What are the advantages of the inverter over the class AB amplifier circuit?
I have designed many of these full H-bridge class AB amplifiers, they are nice, powerful but very expensive.
If this should be discussed elsewhere, please direct me.