Are there alternatives for Europeans who dont want to be "purchase taxed" by VISA and MASTER CARD?

Yes,

After World War II and through recent times (well after the DM to € switch), Germany was one of the most cash-happy countries. If you didn't carry cash on you, there was a good chance you'd end up stuck and unable to pay for something. Even today, many businesses don't take credit cards compared to the US.

Using a card demands that you trust Visa, MC, etc. with your data as well as pay a fee.

The last time I was there (Christmas time) I was horrified to see the inroads these bloodsucking leeches made into Germany. People around the world are selling themselves and future generations into economic servitude and making themselves targets for corporate surveillance based advertising at an alarming rate.

Now would be a great time for a worldwide cash-based movement to spring up.

I ran a cash-based business for a decade and it wasn't so I could cheat on taxes (I paid those every year). It was so I could deny the CC companies their undeserved cut and remain congruent with my values.

Convenience or Freedom

Choose one.

Portugal has the Multibanco (MB).

https://en.m.wikipedia.org/wiki/Multibanco

It handles online payments, QR code and NFC payments in virtually every point of sales that support card payments, phone number money transference and operations in all the Portuguese banks ATMs.

Cash.

Does twint have a mastercard like fee?

Currently there are only alternatives online like Klarna (and iDeal in the Netherlands). The only way to do it in store is paying cash sadly