The payment processing rates offered vary by country. It rarely goes above 1% in Germany unless you're really not shopping around or are really low volume.
A % of that also goes to the issuing bank*, not to MC/Visa, so I suspect the mentioned 0.2% is talking about what MC/Visa has as their cut.
*: That's also how banks can profitably offer things like cashback.
Depends if we are talking credit or debt cards
The low fees are for debt and high for credit cards and VISA/MC won't allow you to accebt only the debt cards