That's not how the EU plans to do it.
Vaccine shortages no doubt followed by test shortages and mandatory testing and vaccination via passports is just a recipe for disaster.
It's just another tool in the totalitarian government toolbox.
When you get symptoms you test. Testing perfectly healthy people is not at all necessary.
Has anyone calculated how it impacts 'ze climate' if roughly ~400 million people in the EU test every day to take part in society or does it certainly not matter? (I already know the answer)
Who controls the distribution, pricing and availability of such tests and passports? All digital eh? Oops, you lost your phone. Sucks to be you, you can't go outside anymore.
This is not at all the same ballpark as getting tested for some 'exotic' diseases when you travel to a different continent.
This is the UK 'vaccine passport' plans (and 'vaccine passport' is itself a misnomer, as it includes people who've caught it and recovered and people whose tests have come back negative):
All of the 'needed' category are venues that for various reasons implicitly need proof of ID anyway; there's no real civil liberties issues in requiring one kind of ID check when another kind of ID check was always needed anyway.
They're pushing an app because its cheaper / easier / more convenient to most people, but you get a paper ID too.
When I got my first shot they gave me a card with date / vaccine batch number / NHS ID on it, and they'll just add a second sticker when I get my second shot, and that'll be proof enough.
Likewise, if countries are going to require proof of vaccination to move between countries, even when the UK was in the EU you generally needed your passport to travel anyway, even under nominal free movement.
If the UK gov was doing shit like curfews, or travel checkpoints, or prohibiting access to transport or shops without vaccination IDs, there's be some civil liberty concerns about requring proof of citizenship to just live as a citizen, but this?
Nothingburger.