You're wrong.

The EU digital certificate is for - you had the vaccine - you had a negative result - you recovered from the virus.

Recovering from the virus gives you 180 days of certification. https://www.sns24.gov.pt/guia/certificado-digital-covid-da-u...

It does count in Switzerland.

Source: I live here. Also, the government: https://www.bag.admin.ch/bag/en/home/krankheiten/ausbrueche-...

> People who have recovered – what to do

> You can get a COVID certificate if the COVID infection was confirmed with a positive PCR test and occurred no more than 180 days ago.

> You can request the COVID certificate from your cantonal authority using an online form. It will then be sent to you by post.

> Please note:

> As the COVID certificate is compatible with the EU Digital COVID Certificate, the standards applying to the EU certificate must also serve as a basis for the Swiss certificate. This means that a certificate is only issued to people who have recovered following a positive PCR test.

I also live here and additionally I'm an MD. But I didn't check sources before posting ('cause I'm feeling lazy, a mortal sin in covid threads).