Question 1: Must, whether it will be depends on the logistics staff.
Question 2: No. An adapter would be the worse solution anyway, as the power cable is plugged into the PC power supply. Unless you want to have a fat clunky power plug...

- - - - - - - - - - - - - - - - - - - -

Digitec is obliged to supply electrical appliances with a Swiss plug. If the appliance comes with a foreign plug, a suitable replacement cable should be supplied if the mains cable is pluggable or alternatively if the mains cable is permanently connected, a suitable adapter should be supplied.

If the appliance is delivered without a suitable plug, complain to the customer service and insist on a cable or an adapter, free of charge.

Point 1 --> https://www.esti.admin.ch/de...