Do the displayed charging costs include VAT?

No, all prices shown are exclusive of VAT, as the note All prices excl. VAT in the agreement details also indicates. In the tariff, the depot operator enters the net energy price per kWh and the VAT rate, with the tax rate and currency determined by the country of the site.

On top of this comes the Depotcharge service fee, which is 2 ct per kWh, in Switzerland 0.04 CHF per kWh, and is likewise stated as a net amount.