Question about drain current of a Class E PA

Here is a question about the drain current in a Class E power amplifier. There is on and off state for the switch CMOS transistor. When it is on, the transistor is turned on and current will be dumped directly from the power supply through the RFChoke inductor and the transistor to ground.

1. So is this just a huge waste since the current won't go through the LC tank in series to be delivered to the output?
2. Is only the drain voltage delivered through the LC tank to the output when the transistor is off?

Although when the transistor is on in triode mode, the drain voltage is not zero in reality. Then this is gonna be a huge power dissipation as well? Then how should I size the CMOS transistor width?

Thanks.